216079920 has 320 divisors, whose sum is σ = 879943680. Its totient is φ = 47692800.

The previous prime is 216079867. The next prime is 216079937. The reversal of 216079920 is 29970612.

216079920 is a `hidden beast` number, since 21 + 607 + 9 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468490 + ... + 468950.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^216079920 is an apocalyptic number.

216079920 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 216079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439971840).

216079920 is an abundant number, since it is smaller than the sum of its proper divisors (663863760).

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

216079920 is a wasteful number, since it uses less digits than its factorization.

216079920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 216079920 is about 14699.6571388587. The cubic root of 216079920 is about 600.0739908752.

The spelling of 216079920 in words is "two hundred sixteen million, seventy-nine thousand, nine hundred twenty".