213464664 has 48 divisors (see below), whose sum is σ = 660725520. Its totient is φ = 60989760.

The previous prime is 213464659. The next prime is 213464687. The reversal of 213464664 is 466464312.

213464664 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 646 + 6 + 4 = 666.

213464664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211267 + ... + 212274.

It is an arithmetic number, because the mean of its divisors is an integer number (13765115).

Almost surely, 2^213464664 is an apocalyptic number.

213464664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213464664 is an abundant number, since it is smaller than the sum of its proper divisors (447260856).

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

213464664 is a wasteful number, since it uses less digits than its factorization.

213464664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423560 (or 423553 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 213464664 is about 14610.4299731391. The cubic root of 213464664 is about 597.6432214456.

The spelling of 213464664 in words is "two hundred thirteen million, four hundred sixty-four thousand, six hundred sixty-four".