1010632320 has 192 divisors, whose sum is σ = 3695482440. Its totient is φ = 253624320.

The previous prime is 1010632313. The next prime is 1010632327. The reversal of 1010632320 is 232360101.

1010632320 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 632 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1010632313) and next prime (1010632327).

It can be written as a sum of positive squares in 4 ways, for example, as 930494016 + 80138304 = 30504^2 + 8952^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1010632293 and 1010632302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010632327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92760 + ... + 103080.

Almost surely, 2^1010632320 is an apocalyptic number.

1010632320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847741220).

1010632320 is an abundant number, since it is smaller than the sum of its proper divisors (2684850120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010632320 is a wasteful number, since it uses less digits than its factorization.

1010632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10363 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1010632320 is about 31790.4438471689. The cubic root of 1010632320 is about 1003.5316196468.

Adding to 1010632320 its reverse (232360101), we get a palindrome (1242992421).

The spelling of 1010632320 in words is "one billion, ten million, six hundred thirty-two thousand, three hundred twenty".