214013832 has 64 divisors (see below), whose sum is σ = 555724800. Its totient is φ = 68608320.

The previous prime is 214013819. The next prime is 214013861. The reversal of 214013832 is 238310412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132373 + ... + 133979.

It is an arithmetic number, because the mean of its divisors is an integer number (8683200).

Almost surely, 2^214013832 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 214013832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277862400).

214013832 is an abundant number, since it is smaller than the sum of its proper divisors (341710968).

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

214013832 is a wasteful number, since it uses less digits than its factorization.

214013832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 214013832 is about 14629.2115987158. The cubic root of 214013832 is about 598.1552897750.

The spelling of 214013832 in words is "two hundred fourteen million, thirteen thousand, eight hundred thirty-two".