220517680 has 40 divisors (see below), whose sum is σ = 525216384. Its totient is φ = 86054400.

The previous prime is 220517641. The next prime is 220517719. The reversal of 220517680 is 86715022.

It is an interprime number because it is at equal distance from previous prime (220517641) and next prime (220517719).

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30336 + ... + 36895.

Almost surely, 2^220517680 is an apocalyptic number.

220517680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220517680 is an abundant number, since it is smaller than the sum of its proper divisors (304698704).

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

220517680 is a wasteful number, since it uses less digits than its factorization.

220517680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67285 (or 67279 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 220517680 is about 14849.8377095509. The cubic root of 220517680 is about 604.1542082462.

The spelling of 220517680 in words is "two hundred twenty million, five hundred seventeen thousand, six hundred eighty".