261975264 has 48 divisors (see below), whose sum is σ = 703688832. Its totient is φ = 85292928.

The previous prime is 261975251. The next prime is 261975283. The reversal of 261975264 is 462579162.

261975264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27604 + ... + 35859.

It is an arithmetic number, because the mean of its divisors is an integer number (14660184).

Almost surely, 2^261975264 is an apocalyptic number.

261975264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261975264 is an abundant number, since it is smaller than the sum of its proper divisors (441713568).

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

261975264 is a wasteful number, since it uses less digits than its factorization.

261975264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63519 (or 63511 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 261975264 is about 16185.6499406110. The cubic root of 261975264 is about 639.8626528184.

The spelling of 261975264 in words is "two hundred sixty-one million, nine hundred seventy-five thousand, two hundred sixty-four".