214753680 has 120 divisors (see below), whose sum is σ = 747993792. Its totient is φ = 57262464.

The previous prime is 214753667. The next prime is 214753699. The reversal of 214753680 is 86357412.

214753680 is a `hidden beast` number, since 2 + 1 + 47 + 536 + 80 = 666.

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

It is a super-2 number, since 2×214753680² = 92238286147084800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13917 + ... + 24963.

Almost surely, 2^214753680 is an apocalyptic number.

214753680 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 214753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373996896).

214753680 is an abundant number, since it is smaller than the sum of its proper divisors (533240112).

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

214753680 is a wasteful number, since it uses less digits than its factorization.

214753680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11075 (or 11057 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 214753680 is about 14654.4764491946. The cubic root of 214753680 is about 598.8437733310.

The spelling of 214753680 in words is "two hundred fourteen million, seven hundred fifty-three thousand, six hundred eighty".