214386680 has 64 divisors (see below), whose sum is σ = 506304000. Its totient is φ = 81544320.

The previous prime is 214386673. The next prime is 214386737. The reversal of 214386680 is 86683412.

It is a happy number.

It is a super-2 number, since 2×214386680² = 91923297122844800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182495 + ... + 183665.

It is an arithmetic number, because the mean of its divisors is an integer number (7911000).

Almost surely, 2^214386680 is an apocalyptic number.

214386680 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 214386680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253152000).

214386680 is an abundant number, since it is smaller than the sum of its proper divisors (291917320).

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

214386680 is a wasteful number, since it uses less digits than its factorization.

214386680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 214386680 is about 14641.9493237752. The cubic root of 214386680 is about 598.5024505376.

The spelling of 214386680 in words is "two hundred fourteen million, three hundred eighty-six thousand, six hundred eighty".