214393680 has 120 divisors (see below), whose sum is σ = 724239360. Its totient is φ = 56835840.

The previous prime is 214393679. The next prime is 214393687. The reversal of 214393680 is 86393412.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214393687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 136741 + ... + 138299.

It is an arithmetic number, because the mean of its divisors is an integer number (6035328).

Almost surely, 2^214393680 is an apocalyptic number.

214393680 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 214393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362119680).

214393680 is an abundant number, since it is smaller than the sum of its proper divisors (509845680).

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

214393680 is a wasteful number, since it uses less digits than its factorization.

214393680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 214393680 is about 14642.1883610340. The cubic root of 214393680 is about 598.5089644242.

The spelling of 214393680 in words is "two hundred fourteen million, three hundred ninety-three thousand, six hundred eighty".