214831632 has 80 divisors (see below), whose sum is σ = 590120960. Its totient is φ = 67153536.

The previous prime is 214831607. The next prime is 214831633. The reversal of 214831632 is 236138412.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 214831632.

It is not an unprimeable number, because it can be changed into a prime (214831633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92793 + ... + 95079.

It is an arithmetic number, because the mean of its divisors is an integer number (7376512).

Almost surely, 2^214831632 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 214831632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295060480).

214831632 is an abundant number, since it is smaller than the sum of its proper divisors (375289328).

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

214831632 is a wasteful number, since it uses less digits than its factorization.

214831632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2414 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 214831632 is about 14657.1358730142. The cubic root of 214831632 is about 598.9162213295.

The spelling of 214831632 in words is "two hundred fourteen million, eight hundred thirty-one thousand, six hundred thirty-two".