213054800 has 60 divisors (see below), whose sum is σ = 584995296. Its totient is φ = 73046400.

The previous prime is 213054791. The next prime is 213054811. The reversal of 213054800 is 8450312.

213054800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 35246 + ... + 40845.

Almost surely, 2^213054800 is an apocalyptic number.

213054800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213054800 is an abundant number, since it is smaller than the sum of its proper divisors (371940496).

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

213054800 is a wasteful number, since it uses less digits than its factorization.

213054800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76116 (or 76105 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 213054800 is about 14596.3968156528. The cubic root of 213054800 is about 597.2604736592.

The spelling of 213054800 in words is "two hundred thirteen million, fifty-four thousand, eight hundred".