261076400 has 60 divisors (see below), whose sum is σ = 675498432. Its totient is φ = 96395520.

The previous prime is 261076393. The next prime is 261076411. The reversal of 261076400 is 4670162.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 261076400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19904 + ... + 30303.

Almost surely, 2^261076400 is an apocalyptic number.

261076400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261076400 is an abundant number, since it is smaller than the sum of its proper divisors (414422032).

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

261076400 is a wasteful number, since it uses less digits than its factorization.

261076400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50238 (or 50227 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 261076400 is about 16157.8587690325. The cubic root of 261076400 is about 639.1300027830.

The spelling of 261076400 in words is "two hundred sixty-one million, seventy-six thousand, four hundred".