216964080 has 120 divisors (see below), whose sum is σ = 753835680. Its totient is φ = 55856640.

The previous prime is 216964067. The next prime is 216964091. The reversal of 216964080 is 80469612.

216964080 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 640 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15685 + ... + 26075.

It is an arithmetic number, because the mean of its divisors is an integer number (6281964).

Almost surely, 2^216964080 is an apocalyptic number.

216964080 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 216964080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376917840).

216964080 is an abundant number, since it is smaller than the sum of its proper divisors (536871600).

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

216964080 is a wasteful number, since it uses less digits than its factorization.

216964080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10439 (or 10430 counting only the distinct ones).

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

The square root of 216964080 is about 14729.7006079553. The cubic root of 216964080 is about 600.8913418604.

The spelling of 216964080 in words is "two hundred sixteen million, nine hundred sixty-four thousand, eighty".