214345656 has 256 divisors, whose sum is σ = 746496000. Its totient is φ = 55572480.

The previous prime is 214345633. The next prime is 214345667. The reversal of 214345656 is 656543412.

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 214345656.

It is a congruent number.

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, 796690 + ... + 796958.

It is an arithmetic number, because the mean of its divisors is an integer number (2916000).

Almost surely, 2^214345656 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 214345656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373248000).

214345656 is an abundant number, since it is smaller than the sum of its proper divisors (532150344).

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

214345656 is a wasteful number, since it uses less digits than its factorization.

214345656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 214345656 is about 14640.5483503863. The cubic root of 214345656 is about 598.4642725892.

The spelling of 214345656 in words is "two hundred fourteen million, three hundred forty-five thousand, six hundred fifty-six".