214972560 has 120 divisors (see below), whose sum is σ = 787610304. Its totient is φ = 52112640.

The previous prime is 214972547. The next prime is 214972561. The reversal of 214972560 is 65279412.

214972560 is a `hidden beast` number, since 2 + 1 + 4 + 97 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214972561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5652 + ... + 21491.

Almost surely, 2^214972560 is an apocalyptic number.

214972560 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 214972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393805152).

214972560 is an abundant number, since it is smaller than the sum of its proper divisors (572637744).

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

214972560 is a wasteful number, since it uses less digits than its factorization.

214972560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27173 (or 27164 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 214972560 is about 14661.9425725243. The cubic root of 214972560 is about 599.0471542761.

The spelling of 214972560 in words is "two hundred fourteen million, nine hundred seventy-two thousand, five hundred sixty".