214551120 has 80 divisors (see below), whose sum is σ = 760129920. Its totient is φ = 49039872.

The previous prime is 214551047. The next prime is 214551149. The reversal of 214551120 is 21155412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62175 + ... + 65534.

It is an arithmetic number, because the mean of its divisors is an integer number (9501624).

Almost surely, 2^214551120 is an apocalyptic number.

214551120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214551120 is an abundant number, since it is smaller than the sum of its proper divisors (545578800).

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

214551120 is a wasteful number, since it uses less digits than its factorization.

214551120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127732 (or 127726 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 214551120 is about 14647.5636199335. The cubic root of 214551120 is about 598.6554335972.

The spelling of 214551120 in words is "two hundred fourteen million, five hundred fifty-one thousand, one hundred twenty".