214584672 has 24 divisors (see below), whose sum is σ = 563285016. Its totient is φ = 71528192.

The previous prime is 214584653. The next prime is 214584677. The reversal of 214584672 is 276485412.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 214584672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214584677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1117533 + ... + 1117724.

It is an arithmetic number, because the mean of its divisors is an integer number (23470209).

Almost surely, 2^214584672 is an apocalyptic number.

It is an amenable number.

214584672 is an abundant number, since it is smaller than the sum of its proper divisors (348700344).

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

214584672 is a wasteful number, since it uses less digits than its factorization.

214584672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235270 (or 2235262 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 214584672 is about 14648.7088850861. The cubic root of 214584672 is about 598.6866383440.

The spelling of 214584672 in words is "two hundred fourteen million, five hundred eighty-four thousand, six hundred seventy-two".