261672984 has 64 divisors (see below), whose sum is σ = 750336000. Its totient is φ = 84408480.

The previous prime is 261672979. The next prime is 261673007. The reversal of 261672984 is 489276162.

It is a happy number.

261672984 is a `hidden beast` number, since 2 + 616 + 7 + 29 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12844 + ... + 26235.

It is an arithmetic number, because the mean of its divisors is an integer number (11724000).

Almost surely, 2^261672984 is an apocalyptic number.

261672984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

261672984 is an abundant number, since it is smaller than the sum of its proper divisors (488663016).

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

261672984 is a wasteful number, since it uses less digits than its factorization.

261672984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39125 (or 39115 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 261672984 is about 16176.3093442231. The cubic root of 261672984 is about 639.6164563912.

The spelling of 261672984 in words is "two hundred sixty-one million, six hundred seventy-two thousand, nine hundred eighty-four".