261746976 has 48 divisors (see below), whose sum is σ = 689689728. Its totient is φ = 86918400.

The previous prime is 261746963. The next prime is 261747007. The reversal of 261746976 is 679647162.

261746976 is digitally balanced in base 2, 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 super-2 number, since 2×261746976² = 137022958890289152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 20986 + ... + 31046.

It is an arithmetic number, because the mean of its divisors is an integer number (14368536).

Almost surely, 2^261746976 is an apocalyptic number.

It is an amenable number.

261746976 is an abundant number, since it is smaller than the sum of its proper divisors (427942752).

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

261746976 is a wasteful number, since it uses less digits than its factorization.

261746976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10345 (or 10337 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 261746976 is about 16178.5962308230. The cubic root of 261746976 is about 639.6767377903.

The spelling of 261746976 in words is "two hundred sixty-one million, seven hundred forty-six thousand, nine hundred seventy-six".