216599040 has 480 divisors, whose sum is σ = 919226880. Its totient is φ = 46006272.

The previous prime is 216599039. The next prime is 216599093. The reversal of 216599040 is 40995612.

216599040 is a `hidden beast` number, since 21 + 6 + 599 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 216598986 and 216599004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741721 + ... + 2741799.

It is an arithmetic number, because the mean of its divisors is an integer number (1915056).

Almost surely, 2^216599040 is an apocalyptic number.

216599040 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 216599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

216599040 is an abundant number, since it is smaller than the sum of its proper divisors (702627840).

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

216599040 is a wasteful number, since it uses less digits than its factorization.

216599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 216599040 is about 14717.3041009554. The cubic root of 216599040 is about 600.5541546967.

The spelling of 216599040 in words is "two hundred sixteen million, five hundred ninety-nine thousand, forty".