213686464 has 56 divisors (see below), whose sum is σ = 472653360. Its totient is φ = 95256576.

The previous prime is 213686453. The next prime is 213686497. The reversal of 213686464 is 464686312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15504 + ... + 25840.

Almost surely, 2^213686464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236326680).

213686464 is an abundant number, since it is smaller than the sum of its proper divisors (258966896).

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

213686464 is a wasteful number, since it uses less digits than its factorization.

213686464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10385 (or 10375 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 213686464 is about 14618.0184703673. The cubic root of 213686464 is about 597.8501430962.

The spelling of 213686464 in words is "two hundred thirteen million, six hundred eighty-six thousand, four hundred sixty-four".