213656800 has 72 divisors (see below), whose sum is σ = 596118096. Its totient is φ = 73251840.

The previous prime is 213656797. The next prime is 213656803. The reversal of 213656800 is 8656312.

It is an interprime number because it is at equal distance from previous prime (213656797) and next prime (213656803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213656803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13477 + ... + 24676.

It is an arithmetic number, because the mean of its divisors is an integer number (8279418).

Almost surely, 2^213656800 is an apocalyptic number.

213656800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213656800 is an abundant number, since it is smaller than the sum of its proper divisors (382461296).

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

213656800 is a wasteful number, since it uses less digits than its factorization.

213656800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38180 (or 38167 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 213656800 is about 14617.0037969483. The cubic root of 213656800 is about 597.8224772550.

The spelling of 213656800 in words is "two hundred thirteen million, six hundred fifty-six thousand, eight hundred".