216292680 has 160 divisors (see below), whose sum is σ = 732635640. Its totient is φ = 57231360.

The previous prime is 216292669. The next prime is 216292693. The reversal of 216292680 is 86292612.

It is a happy number.

216292680 is a `hidden beast` number, since 2 + 1 + 629 + 26 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164711556 + 51581124 = 12834^2 + 7182^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 780702 + ... + 780978.

Almost surely, 2^216292680 is an apocalyptic number.

216292680 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 216292680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366317820).

216292680 is an abundant number, since it is smaller than the sum of its proper divisors (516342960).

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

216292680 is a wasteful number, since it uses less digits than its factorization.

216292680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 216292680 is about 14706.8922617934. The cubic root of 216292680 is about 600.2708776904.

The spelling of 216292680 in words is "two hundred sixteen million, two hundred ninety-two thousand, six hundred eighty".