214052664 has 64 divisors (see below), whose sum is σ = 624614400. Its totient is φ = 59854464.

The previous prime is 214052653. The next prime is 214052687. The reversal of 214052664 is 466250412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5659 + ... + 21450.

It is an arithmetic number, because the mean of its divisors is an integer number (9759600).

Almost surely, 2^214052664 is an apocalyptic number.

214052664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214052664 is an abundant number, since it is smaller than the sum of its proper divisors (410561736).

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

214052664 is a wasteful number, since it uses less digits than its factorization.

214052664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27172 (or 27168 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 214052664 is about 14630.5387460613. The cubic root of 214052664 is about 598.1914652584.

The spelling of 214052664 in words is "two hundred fourteen million, fifty-two thousand, six hundred sixty-four".