214508720 has 80 divisors (see below), whose sum is σ = 541090368. Its totient is φ = 78766080.

The previous prime is 214508713. The next prime is 214508753. The reversal of 214508720 is 27805412.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53837 + ... + 57683.

Almost surely, 2^214508720 is an apocalyptic number.

214508720 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 214508720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270545184).

214508720 is an abundant number, since it is smaller than the sum of its proper divisors (326581648).

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

214508720 is a wasteful number, since it uses less digits than its factorization.

214508720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 214508720 is about 14646.1162087428. The cubic root of 214508720 is about 598.6159951910.

The spelling of 214508720 in words is "two hundred fourteen million, five hundred eight thousand, seven hundred twenty".