213640800 has 72 divisors (see below), whose sum is σ = 695408616. Its totient is φ = 56970240.

The previous prime is 213640799. The next prime is 213640831. The reversal of 213640800 is 8046312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42109 + ... + 46908.

It is an arithmetic number, because the mean of its divisors is an integer number (9658453).

Almost surely, 2^213640800 is an apocalyptic number.

213640800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213640800 is an abundant number, since it is smaller than the sum of its proper divisors (481767816).

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

213640800 is a wasteful number, since it uses less digits than its factorization.

213640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89040 (or 89027 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 213640800 is about 14616.4564789144. The cubic root of 213640800 is about 597.8075539474.

The spelling of 213640800 in words is "two hundred thirteen million, six hundred forty thousand, eight hundred".