214556880 has 160 divisors (see below), whose sum is σ = 709668864. Its totient is φ = 53498368.

The previous prime is 214556869. The next prime is 214556887. The reversal of 214556880 is 88655412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214556887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259027 + ... + 259853.

Almost surely, 2^214556880 is an apocalyptic number.

214556880 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 214556880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354834432).

214556880 is an abundant number, since it is smaller than the sum of its proper divisors (495111984).

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

214556880 is a wasteful number, since it uses less digits than its factorization.

214556880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 214556880 is about 14647.7602383436. The cubic root of 214556880 is about 598.6607908665.

The spelling of 214556880 in words is "two hundred fourteen million, five hundred fifty-six thousand, eight hundred eighty".