214045680 has 80 divisors (see below), whose sum is σ = 664957440. Its totient is φ = 56957184.

The previous prime is 214045679. The next prime is 214045693. The reversal of 214045680 is 86540412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 200829 + ... + 201891.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2^214045680 is an apocalyptic number.

214045680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214045680 is an abundant number, since it is smaller than the sum of its proper divisors (450911760).

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

214045680 is a wasteful number, since it uses less digits than its factorization.

214045680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 214045680 is about 14630.3000652755. The cubic root of 214045680 is about 598.1849593601.

The spelling of 214045680 in words is "two hundred fourteen million, forty-five thousand, six hundred eighty".