216672560 has 80 divisors (see below), whose sum is σ = 546381696. Its totient is φ = 79432704.

The previous prime is 216672557. The next prime is 216672569. The reversal of 216672560 is 65276612.

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

It is a self number, because there is not a number n which added to its sum of digits gives 216672560.

It is not an unprimeable number, because it can be changed into a prime (216672569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162617 + ... + 163943.

Almost surely, 2^216672560 is an apocalyptic number.

216672560 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 216672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273190848).

216672560 is an abundant number, since it is smaller than the sum of its proper divisors (329709136).

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

216672560 is a wasteful number, since it uses less digits than its factorization.

216672560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 216672560 is about 14719.8016290981. The cubic root of 216672560 is about 600.6220955131.

The spelling of 216672560 in words is "two hundred sixteen million, six hundred seventy-two thousand, five hundred sixty".