1521964032 has 176 divisors, whose sum is σ = 4346059392. Its totient is φ = 471859200.

The previous prime is 1521964007. The next prime is 1521964097. The reversal of 1521964032 is 2304691251.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1521963984 and 1521964002.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7885728 + ... + 7885920.

Almost surely, 2^1521964032 is an apocalyptic number.

1521964032 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 1521964032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173029696).

1521964032 is an abundant number, since it is smaller than the sum of its proper divisors (2824095360).

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

1521964032 is a wasteful number, since it uses less digits than its factorization.

1521964032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1521964032 is about 39012.3574268462. The cubic root of 1521964032 is about 1150.2744227265.

The spelling of 1521964032 in words is "one billion, five hundred twenty-one million, nine hundred sixty-four thousand, thirty-two".