1032900960 has 576 divisors, whose sum is σ = 4303176192. Its totient is φ = 203194368.

The previous prime is 1032900923. The next prime is 1032901003. The reversal of 1032900960 is 690092301.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 9653227 + ... + 9653333.

It is an arithmetic number, because the mean of its divisors is an integer number (7470792).

Almost surely, 2^1032900960 is an apocalyptic number.

1032900960 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 1032900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151588096).

1032900960 is an abundant number, since it is smaller than the sum of its proper divisors (3270275232).

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

1032900960 is a wasteful number, since it uses less digits than its factorization.

1032900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1032900960 is about 32138.7765790797. The cubic root of 1032900960 is about 1010.8488632046.

The spelling of 1032900960 in words is "one billion, thirty-two million, nine hundred thousand, nine hundred sixty".