214596120 has 64 divisors (see below), whose sum is σ = 647572320. Its totient is φ = 56889344.

The previous prime is 214596103. The next prime is 214596131. The reversal of 214596120 is 21695412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15592 + ... + 25928.

Almost surely, 2^214596120 is an apocalyptic number.

214596120 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 214596120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323786160).

214596120 is an abundant number, since it is smaller than the sum of its proper divisors (432976200).

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

214596120 is a wasteful number, since it uses less digits than its factorization.

214596120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10524 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 214596120 is about 14649.0996310353. The cubic root of 214596120 is about 598.6972847129.

The spelling of 214596120 in words is "two hundred fourteen million, five hundred ninety-six thousand, one hundred twenty".