264961152 has 64 divisors (see below), whose sum is σ = 782013600. Its totient is φ = 88319232.

The previous prime is 264961117. The next prime is 264961159. The reversal of 264961152 is 251169462.

264961152 is a `hidden beast` number, since 2 + 649 + 6 + 1 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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 (264961159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34878 + ... + 41789.

Almost surely, 2^264961152 is an apocalyptic number.

It is an amenable number.

264961152 is an abundant number, since it is smaller than the sum of its proper divisors (517052448).

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

264961152 is an equidigital number, since it uses as much as digits as its factorization.

264961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76690 (or 76672 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 264961152 is about 16277.6273455317. The cubic root of 264961152 is about 642.2844402968.

It can be divided in two parts, 264 and 961152, that multiplied together give a triangular number (253744128 = T₂₂₅₂₇).

The spelling of 264961152 in words is "two hundred sixty-four million, nine hundred sixty-one thousand, one hundred fifty-two".