214996320 has 432 divisors, whose sum is σ = 934406928. Its totient is φ = 44513280.

The previous prime is 214996291. The next prime is 214996337. The reversal of 214996320 is 23699412.

214996320 is a `hidden beast` number, since 2 + 14 + 9 + 9 + 632 + 0 = 666.

It is a super-2 number, since 2×214996320² = 92446835227084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 776022 + ... + 776298.

It is an arithmetic number, because the mean of its divisors is an integer number (2162979).

Almost surely, 2^214996320 is an apocalyptic number.

214996320 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 214996320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467203464).

214996320 is an abundant number, since it is smaller than the sum of its proper divisors (719410608).

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

214996320 is a wasteful number, since it uses less digits than its factorization.

214996320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 214996320 is about 14662.7528111197. The cubic root of 214996320 is about 599.0692235052.

The spelling of 214996320 in words is "two hundred fourteen million, nine hundred ninety-six thousand, three hundred twenty".