1012364320 has 192 divisors, whose sum is σ = 2762968320. Its totient is φ = 346931200.

The previous prime is 1012364317. The next prime is 1012364329. The reversal of 1012364320 is 234632101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1012364291 and 1012364300.

It is not an unprimeable number, because it can be changed into a prime (1012364329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3602580 + ... + 3602860.

It is an arithmetic number, because the mean of its divisors is an integer number (14390460).

Almost surely, 2^1012364320 is an apocalyptic number.

1012364320 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 1012364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381484160).

1012364320 is an abundant number, since it is smaller than the sum of its proper divisors (1750604000).

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

1012364320 is a wasteful number, since it uses less digits than its factorization.

1012364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1012364320 is about 31817.6730764523. The cubic root of 1012364320 is about 1004.1045694590.

Adding to 1012364320 its reverse (234632101), we get a palindrome (1246996421).

The spelling of 1012364320 in words is "one billion, twelve million, three hundred sixty-four thousand, three hundred twenty".