214590880 has 48 divisors (see below), whose sum is σ = 579398400. Its totient is φ = 73573632.

The previous prime is 214590877. The next prime is 214590907. The reversal of 214590880 is 88095412.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94680 + ... + 96919.

It is an arithmetic number, because the mean of its divisors is an integer number (12070800).

Almost surely, 2^214590880 is an apocalyptic number.

214590880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214590880 is an abundant number, since it is smaller than the sum of its proper divisors (364807520).

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

214590880 is a wasteful number, since it uses less digits than its factorization.

214590880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191621 (or 191613 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 214590880 is about 14648.9207793612. The cubic root of 214590880 is about 598.6924116840.

It can be divided in two parts, 2145 and 90880, that added together give a square (93025 = 305²).

The spelling of 214590880 in words is "two hundred fourteen million, five hundred ninety thousand, eight hundred eighty".