264680217 has 28 divisors (see below), whose sum is σ = 402836080. Its totient is φ = 173787768.

The previous prime is 264680209. The next prime is 264680219. The reversal of 264680217 is 712086462.

264680217 is a `hidden beast` number, since 2 + 646 + 8 + 0 + 2 + 1 + 7 = 666.

It is not a de Polignac number, because 264680217 - 2³ = 264680209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264680219) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 46134 + ... + 51552.

Almost surely, 2^264680217 is an apocalyptic number.

264680217 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

264680217 is a deficient number, since it is larger than the sum of its proper divisors (138155863).

264680217 is an frugal number, since it uses more digits than its factorization.

264680217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5504 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 264680217 is about 16268.9955744047. The cubic root of 264680217 is about 642.0573579638.

The spelling of 264680217 in words is "two hundred sixty-four million, six hundred eighty thousand, two hundred seventeen".