1532568960 has 384 divisors, whose sum is σ = 5785284960. Its totient is φ = 371589120.

The previous prime is 1532568931. The next prime is 1532568967. The reversal of 1532568960 is 698652351.

1532568960 is a `hidden beast` number, since 1 + 532 + 56 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1532568967) 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 47 ways as a sum of consecutive naturals, for example, 7263255 + ... + 7263465.

Almost surely, 2^1532568960 is an apocalyptic number.

1532568960 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 1532568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892642480).

1532568960 is an abundant number, since it is smaller than the sum of its proper divisors (4252716000).

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

1532568960 is a wasteful number, since it uses less digits than its factorization.

1532568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1532568960 is about 39148.0390313487. The cubic root of 1532568960 is about 1152.9399157853.

The spelling of 1532568960 in words is "one billion, five hundred thirty-two million, five hundred sixty-eight thousand, nine hundred sixty".