214372564 has 48 divisors (see below), whose sum is σ = 444358656. Its totient is φ = 88552800.

The previous prime is 214372549. The next prime is 214372579. The reversal of 214372564 is 465273412.

It is an interprime number because it is at equal distance from previous prime (214372549) and next prime (214372579).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425937 + ... + 426439.

It is an arithmetic number, because the mean of its divisors is an integer number (9257472).

Almost surely, 2^214372564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214372564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222179328).

214372564 is an abundant number, since it is smaller than the sum of its proper divisors (229986092).

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

214372564 is a wasteful number, since it uses less digits than its factorization.

214372564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1034 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 214372564 is about 14641.4672761988. The cubic root of 214372564 is about 598.4893143887.

The spelling of 214372564 in words is "two hundred fourteen million, three hundred seventy-two thousand, five hundred sixty-four".