213486864 has 80 divisors (see below), whose sum is σ = 576451200. Its totient is φ = 67995648.

The previous prime is 213486841. The next prime is 213486887. The reversal of 213486864 is 468684312.

It is an interprime number because it is at equal distance from previous prime (213486841) and next prime (213486887).

It is a super-2 number, since 2×213486864² = 91153282201108992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142632 + ... + 144120.

It is an arithmetic number, because the mean of its divisors is an integer number (7205640).

Almost surely, 2^213486864 is an apocalyptic number.

213486864 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 213486864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288225600).

213486864 is an abundant number, since it is smaller than the sum of its proper divisors (362964336).

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

213486864 is a wasteful number, since it uses less digits than its factorization.

213486864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1626 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 213486864 is about 14611.1896846219. The cubic root of 213486864 is about 597.6639387224.

The spelling of 213486864 in words is "two hundred thirteen million, four hundred eighty-six thousand, eight hundred sixty-four".