1032456960 has 432 divisors, whose sum is σ = 3874197600. Its totient is φ = 253034496.

The previous prime is 1032456923. The next prime is 1032456967. The reversal of 1032456960 is 696542301.

It is a happy number.

1032456960 is a `hidden beast` number, since 1 + 0 + 32 + 4 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1032456967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11600596 + ... + 11600684.

It is an arithmetic number, because the mean of its divisors is an integer number (8968050).

Almost surely, 2^1032456960 is an apocalyptic number.

1032456960 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 1032456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937098800).

1032456960 is an abundant number, since it is smaller than the sum of its proper divisors (2841740640).

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

1032456960 is a wasteful number, since it uses less digits than its factorization.

1032456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1032456960 is about 32131.8682930202. The cubic root of 1032456960 is about 1010.7040021976.

The spelling of 1032456960 in words is "one billion, thirty-two million, four hundred fifty-six thousand, nine hundred sixty".