214087320 has 128 divisors (see below), whose sum is σ = 718502400. Its totient is φ = 56700288.

The previous prime is 214087301. The next prime is 214087337. The reversal of 214087320 is 23780412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179767 + ... + 180953.

It is an arithmetic number, because the mean of its divisors is an integer number (5613300).

Almost surely, 2^214087320 is an apocalyptic number.

214087320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214087320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359251200).

214087320 is an abundant number, since it is smaller than the sum of its proper divisors (504415080).

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

214087320 is a wasteful number, since it uses less digits than its factorization.

214087320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 214087320 is about 14631.7230700967. The cubic root of 214087320 is about 598.2237467296.

The spelling of 214087320 in words is "two hundred fourteen million, eighty-seven thousand, three hundred twenty".