213457120 has 24 divisors (see below), whose sum is σ = 504292824. Its totient is φ = 85382784.

The previous prime is 213457091. The next prime is 213457121. The reversal of 213457120 is 21754312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213457121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 666894 + ... + 667213.

It is an arithmetic number, because the mean of its divisors is an integer number (21012201).

Almost surely, 2^213457120 is an apocalyptic number.

213457120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213457120 is an abundant number, since it is smaller than the sum of its proper divisors (290835704).

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

213457120 is a wasteful number, since it uses less digits than its factorization.

213457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334122 (or 1334114 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 213457120 is about 14610.1717991268. The cubic root of 213457120 is about 597.6361809773.

The spelling of 213457120 in words is "two hundred thirteen million, four hundred fifty-seven thousand, one hundred twenty".