214309872 has 120 divisors (see below), whose sum is σ = 692205696. Its totient is φ = 60628608.

The previous prime is 214309861. The next prime is 214309877. The reversal of 214309872 is 278903412.

214309872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (214309877) 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, 106863 + ... + 108849.

Almost surely, 2^214309872 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 214309872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346102848).

214309872 is an abundant number, since it is smaller than the sum of its proper divisors (477895824).

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

214309872 is a wasteful number, since it uses less digits than its factorization.

214309872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 214309872 is about 14639.3262140032. The cubic root of 214309872 is about 598.4309671364.

The spelling of 214309872 in words is "two hundred fourteen million, three hundred nine thousand, eight hundred seventy-two".