214746680 has 32 divisors (see below), whose sum is σ = 484596000. Its totient is φ = 85646976.

The previous prime is 214746673. The next prime is 214746709. The reversal of 214746680 is 86647412.

It is a super-2 number, since 2×214746680² = 92232273142044800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6269 + ... + 21651.

It is an arithmetic number, because the mean of its divisors is an integer number (15143625).

Almost surely, 2^214746680 is an apocalyptic number.

214746680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214746680 is an abundant number, since it is smaller than the sum of its proper divisors (269849320).

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

214746680 is a wasteful number, since it uses less digits than its factorization.

214746680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15743 (or 15739 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 214746680 is about 14654.2376123768. The cubic root of 214746680 is about 598.8372667263.

The spelling of 214746680 in words is "two hundred fourteen million, seven hundred forty-six thousand, six hundred eighty".