216406080 has 504 divisors, whose sum is σ = 885358656. Its totient is φ = 50181120.

The previous prime is 216406061. The next prime is 216406111. The reversal of 216406080 is 80604612.

216406080 is a `hidden beast` number, since 2 + 16 + 40 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9408949 + ... + 9408971.

It is an arithmetic number, because the mean of its divisors is an integer number (1756664).

Almost surely, 2^216406080 is an apocalyptic number.

216406080 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 216406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442679328).

216406080 is an abundant number, since it is smaller than the sum of its proper divisors (668952576).

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

216406080 is a wasteful number, since it uses less digits than its factorization.

216406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 216406080 is about 14710.7470918373. The cubic root of 216406080 is about 600.3757646191.

The spelling of 216406080 in words is "two hundred sixteen million, four hundred six thousand, eighty".