214536120 has 128 divisors (see below), whose sum is σ = 672122880. Its totient is φ = 54720000.

The previous prime is 214536083. The next prime is 214536121. The reversal of 214536120 is 21635412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214536121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375435 + ... + 376005.

It is an arithmetic number, because the mean of its divisors is an integer number (5250960).

Almost surely, 2^214536120 is an apocalyptic number.

214536120 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 214536120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336061440).

214536120 is an abundant number, since it is smaller than the sum of its proper divisors (457586760).

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

214536120 is a wasteful number, since it uses less digits than its factorization.

214536120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 214536120 is about 14647.0515804376. The cubic root of 214536120 is about 598.6414819248.

The spelling of 214536120 in words is "two hundred fourteen million, five hundred thirty-six thousand, one hundred twenty".