214601920 has 112 divisors (see below), whose sum is σ = 558149760. Its totient is φ = 78114816.

The previous prime is 214601899. The next prime is 214601921. The reversal of 214601920 is 29106412.

It is not an unprimeable number, because it can be changed into a prime (214601921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328314 + ... + 328966.

It is an arithmetic number, because the mean of its divisors is an integer number (4983480).

Almost surely, 2^214601920 is an apocalyptic number.

214601920 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 214601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279074880).

214601920 is an abundant number, since it is smaller than the sum of its proper divisors (343547840).

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

214601920 is a wasteful number, since it uses less digits than its factorization.

214601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 214601920 is about 14649.2975940828. The cubic root of 214601920 is about 598.7026784311.

The spelling of 214601920 in words is "two hundred fourteen million, six hundred one thousand, nine hundred twenty".