1032361632 has 192 divisors, whose sum is σ = 3121009920. Its totient is φ = 331776000.

The previous prime is 1032361609. The next prime is 1032361663. The reversal of 1032361632 is 2361632301.

It is a happy number.

1032361632 is a `hidden beast` number, since 1 + 0 + 3 + 23 + 6 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1032361596 and 1032361605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5348928 + ... + 5349120.

It is an arithmetic number, because the mean of its divisors is an integer number (16255260).

Almost surely, 2^1032361632 is an apocalyptic number.

1032361632 is a gapful number since it is divisible by the number (12) 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 1032361632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560504960).

1032361632 is an abundant number, since it is smaller than the sum of its proper divisors (2088648288).

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

1032361632 is a wasteful number, since it uses less digits than its factorization.

1032361632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1032361632 is about 32130.3848716445. The cubic root of 1032361632 is about 1010.6728947325.

Adding to 1032361632 its reverse (2361632301), we get a palindrome (3393993933).

The spelling of 1032361632 in words is "one billion, thirty-two million, three hundred sixty-one thousand, six hundred thirty-two".