214633872 has 120 divisors (see below), whose sum is σ = 628680000. Its totient is φ = 68269824.

The previous prime is 214633849. The next prime is 214633879. The reversal of 214633872 is 278336412.

It is a happy number.

214633872 is a `hidden beast` number, since 2 + 14 + 633 + 8 + 7 + 2 = 666.

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 (214633879) 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, 429879 + ... + 430377.

It is an arithmetic number, because the mean of its divisors is an integer number (5239000).

Almost surely, 2^214633872 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 214633872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314340000).

214633872 is an abundant number, since it is smaller than the sum of its proper divisors (414046128).

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

214633872 is a wasteful number, since it uses less digits than its factorization.

214633872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 636 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 214633872 is about 14650.3881177258. The cubic root of 214633872 is about 598.7323904962.

The spelling of 214633872 in words is "two hundred fourteen million, six hundred thirty-three thousand, eight hundred seventy-two".