286625664 has 96 divisors (see below), whose sum is σ = 888287400. Its totient is φ = 88187904.

The previous prime is 286625653. The next prime is 286625671. The reversal of 286625664 is 466526682.

286625664 is a `hidden beast` number, since 2 + 86 + 6 + 2 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5407 + ... + 24545.

Almost surely, 2^286625664 is an apocalyptic number.

286625664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444143700).

286625664 is an abundant number, since it is smaller than the sum of its proper divisors (601661736).

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

286625664 is a wasteful number, since it uses less digits than its factorization.

286625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19172 (or 19157 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 286625664 is about 16930.0225634817. The cubic root of 286625664 is about 659.3333212921. Note that the first 4 decimals are identical.

The spelling of 286625664 in words is "two hundred eighty-six million, six hundred twenty-five thousand, six hundred sixty-four".