1032620864 has 112 divisors (see below), whose sum is σ = 2376708480. Its totient is φ = 440616960.

The previous prime is 1032620837. The next prime is 1032620867. The reversal of 1032620864 is 4680262301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1032620864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032620867) by changing a digit.

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, 754709 + ... + 756075.

Almost surely, 2^1032620864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188354240).

1032620864 is an abundant number, since it is smaller than the sum of its proper divisors (1344087616).

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

1032620864 is a wasteful number, since it uses less digits than its factorization.

1032620864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 1032620864 is about 32134.4186815321. The cubic root of 1032620864 is about 1010.7574829300.

The spelling of 1032620864 in words is "one billion, thirty-two million, six hundred twenty thousand, eight hundred sixty-four".