213652620 has 96 divisors (see below), whose sum is σ = 686192640. Its totient is φ = 55131840.

The previous prime is 213652613. The next prime is 213652633. The reversal of 213652620 is 26256312.

213652620 is a `hidden beast` number, since 2 + 1 + 3 + 652 + 6 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10359 + ... + 23121.

It is an arithmetic number, because the mean of its divisors is an integer number (7147840).

Almost surely, 2^213652620 is an apocalyptic number.

213652620 is a gapful number since it is divisible by the number (20) 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 213652620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343096320).

213652620 is an abundant number, since it is smaller than the sum of its proper divisors (472540020).

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

213652620 is a wasteful number, since it uses less digits than its factorization.

213652620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12812 (or 12804 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 213652620 is about 14616.8608120896. The cubic root of 213652620 is about 597.8185786128.

It can be divided in two parts, 2136 and 52620, that added together give a square (54756 = 234²).

The spelling of 213652620 in words is "two hundred thirteen million, six hundred fifty-two thousand, six hundred twenty".