213624864 has 120 divisors (see below), whose sum is σ = 637435260. Its totient is φ = 70170624.

The previous prime is 213624811. The next prime is 213624869. The reversal of 213624864 is 468426312.

213624864 is a `hidden beast` number, since 21 + 3 + 624 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 204261264 + 9363600 = 14292^2 + 3060^2 .

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 nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (213624869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 188652 + ... + 189780.

Almost surely, 2^213624864 is an apocalyptic number.

213624864 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 213624864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318717630).

213624864 is an abundant number, since it is smaller than the sum of its proper divisors (423810396).

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

213624864 is a wasteful number, since it uses less digits than its factorization.

213624864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1207 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 213624864 is about 14615.9113297803. The cubic root of 213624864 is about 597.7926895925.

It can be divided in two parts, 2136248 and 64, that added together give a palindrome (2136312).

The spelling of 213624864 in words is "two hundred thirteen million, six hundred twenty-four thousand, eight hundred sixty-four".