214773120 has 192 divisors, whose sum is σ = 769663440. Its totient is φ = 57231360.

The previous prime is 214773107. The next prime is 214773137. The reversal of 214773120 is 21377412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×214773120² = 92254986149068800, which contains 22 as substring.

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

It is a congruent number.

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, 154830 + ... + 156210.

Almost surely, 2^214773120 is an apocalyptic number.

214773120 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 214773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384831720).

214773120 is an abundant number, since it is smaller than the sum of its proper divisors (554890320).

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

214773120 is an equidigital number, since it uses as much as digits as its factorization.

214773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 214773120 is about 14655.1397127424. The cubic root of 214773120 is about 598.8618423605.

The spelling of 214773120 in words is "two hundred fourteen million, seven hundred seventy-three thousand, one hundred twenty".