214361160 has 256 divisors, whose sum is σ = 751161600. Its totient is φ = 48463872.

The previous prime is 214361153. The next prime is 214361183. The reversal of 214361160 is 61163412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 214361160.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1564612 + ... + 1564748.

It is an arithmetic number, because the mean of its divisors is an integer number (2934225).

Almost surely, 2^214361160 is an apocalyptic number.

214361160 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 214361160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375580800).

214361160 is an abundant number, since it is smaller than the sum of its proper divisors (536800440).

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

214361160 is a wasteful number, since it uses less digits than its factorization.

214361160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 214361160 is about 14641.0778291764. The cubic root of 214361160 is about 598.4787015674.

The spelling of 214361160 in words is "two hundred fourteen million, three hundred sixty-one thousand, one hundred sixty".