214992960 has 448 divisors, whose sum is σ = 884846592. Its totient is φ = 42983424.

The previous prime is 214992959. The next prime is 214992989. The reversal of 214992960 is 69299412.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2009227 + ... + 2009333.

It is an arithmetic number, because the mean of its divisors is an integer number (1975104).

Almost surely, 2^214992960 is an apocalyptic number.

214992960 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 214992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442423296).

214992960 is an abundant number, since it is smaller than the sum of its proper divisors (669853632).

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

214992960 is a wasteful number, since it uses less digits than its factorization.

214992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 214992960 is about 14662.6382346425. The cubic root of 214992960 is about 599.0661027028.

The spelling of 214992960 in words is "two hundred fourteen million, nine hundred ninety-two thousand, nine hundred sixty".