261296064 has 56 divisors (see below), whose sum is σ = 768167120. Its totient is φ = 87098112.

The previous prime is 261296053. The next prime is 261296081. The reversal of 261296064 is 460692162.

261296064 is a `hidden beast` number, since 26 + 1 + 29 + 606 + 4 = 666.

261296064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 73879 + ... + 77334.

It is an arithmetic number, because the mean of its divisors is an integer number (13717270).

Almost surely, 2^261296064 is an apocalyptic number.

261296064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261296064 is an abundant number, since it is smaller than the sum of its proper divisors (506871056).

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

261296064 is a wasteful number, since it uses less digits than its factorization.

261296064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151234 (or 151218 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 261296064 is about 16164.6547751568. The cubic root of 261296064 is about 639.3092025582.

The spelling of 261296064 in words is "two hundred sixty-one million, two hundred ninety-six thousand, sixty-four".