214513920 has 180 divisors, whose sum is σ = 767941020. Its totient is φ = 57176064.

The previous prime is 214513909. The next prime is 214513951. The reversal of 214513920 is 29315412.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 160579584 = 7344^2 + 12672^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102646 + ... + 104714.

It is an arithmetic number, because the mean of its divisors is an integer number (4266339).

Almost surely, 2^214513920 is an apocalyptic number.

214513920 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 214513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383970510).

214513920 is an abundant number, since it is smaller than the sum of its proper divisors (553427100).

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

214513920 is an equidigital number, since it uses as much as digits as its factorization.

214513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 214513920 is about 14646.2937291316. The cubic root of 214513920 is about 598.6208322562.

The spelling of 214513920 in words is "two hundred fourteen million, five hundred thirteen thousand, nine hundred twenty".