214974564 has 96 divisors (see below), whose sum is σ = 605472000. Its totient is φ = 59270400.

The previous prime is 214974547. The next prime is 214974619. The reversal of 214974564 is 465479412.

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 31 ways as a sum of consecutive naturals, for example, 118464 + ... + 120264.

It is an arithmetic number, because the mean of its divisors is an integer number (6307000).

Almost surely, 2^214974564 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 214974564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302736000).

214974564 is an abundant number, since it is smaller than the sum of its proper divisors (390497436).

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

214974564 is a wasteful number, since it uses less digits than its factorization.

214974564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1842 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 214974564 is about 14662.0109125590. The cubic root of 214974564 is about 599.0490157334.

The spelling of 214974564 in words is "two hundred fourteen million, nine hundred seventy-four thousand, five hundred sixty-four".