214382080 has 160 divisors (see below), whose sum is σ = 586891008. Its totient is φ = 74342400.

The previous prime is 214382027. The next prime is 214382137. The reversal of 214382080 is 80283412.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647515 + ... + 647845.

Almost surely, 2^214382080 is an apocalyptic number.

214382080 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 214382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293445504).

214382080 is an abundant number, since it is smaller than the sum of its proper divisors (372508928).

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

214382080 is a wasteful number, since it uses less digits than its factorization.

214382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 214382080 is about 14641.7922400231. The cubic root of 214382080 is about 598.4981699063.

The spelling of 214382080 in words is "two hundred fourteen million, three hundred eighty-two thousand, eighty".