214881840 has 120 divisors (see below), whose sum is σ = 726850800. Its totient is φ = 56888832.

The previous prime is 214881809. The next prime is 214881859. The reversal of 214881840 is 48188412.

It is a happy number.

214881840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214881795 and 214881804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106279 + ... + 108281.

It is an arithmetic number, because the mean of its divisors is an integer number (6057090).

Almost surely, 2^214881840 is an apocalyptic number.

214881840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214881840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363425400).

214881840 is an abundant number, since it is smaller than the sum of its proper divisors (511968960).

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

214881840 is a wasteful number, since it uses less digits than its factorization.

214881840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 214881840 is about 14658.8485223090. The cubic root of 214881840 is about 598.9628749858.

The spelling of 214881840 in words is "two hundred fourteen million, eight hundred eighty-one thousand, eight hundred forty".