1575120960 has 672 divisors, whose sum is σ = 6694871040. Its totient is φ = 332107776.

The previous prime is 1575120931. The next prime is 1575120971. The reversal of 1575120960 is 690215751.

1575120960 is a `hidden beast` number, since 1 + 57 + 512 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 19938201 + ... + 19938279.

Almost surely, 2^1575120960 is an apocalyptic number.

1575120960 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 1575120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347435520).

1575120960 is an abundant number, since it is smaller than the sum of its proper divisors (5119750080).

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

1575120960 is a wasteful number, since it uses less digits than its factorization.

1575120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 1575120960 is about 39687.7935894653. The cubic root of 1575120960 is about 1163.5131701375.

The spelling of 1575120960 in words is "one billion, five hundred seventy-five million, one hundred twenty thousand, nine hundred sixty".