214565120 has 216 divisors, whose sum is σ = 654308928. Its totient is φ = 66662400.

The previous prime is 214565093. The next prime is 214565173. The reversal of 214565120 is 21565412.

It is a super-2 number, since 2×214565120² = 92076381441228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214565120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689765 + ... + 690075.

It is an arithmetic number, because the mean of its divisors is an integer number (3029208).

Almost surely, 2^214565120 is an apocalyptic number.

214565120 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 214565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327154464).

214565120 is an abundant number, since it is smaller than the sum of its proper divisors (439743808).

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

214565120 is a wasteful number, since it uses less digits than its factorization.

214565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 214565120 is about 14648.0415073142. The cubic root of 214565120 is about 598.6684545713.

The spelling of 214565120 in words is "two hundred fourteen million, five hundred sixty-five thousand, one hundred twenty".