215216496 has 120 divisors (see below), whose sum is σ = 691741440. Its totient is φ = 61776000.

The previous prime is 215216489. The next prime is 215216513. The reversal of 215216496 is 694612512.

215216496 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 1 + 649 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 215216496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26521 + ... + 33671.

It is an arithmetic number, because the mean of its divisors is an integer number (5764512).

Almost surely, 2^215216496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215216496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345870720).

215216496 is an abundant number, since it is smaller than the sum of its proper divisors (476524944).

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

215216496 is a wasteful number, since it uses less digits than its factorization.

215216496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195 (or 7186 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 215216496 is about 14670.2588934211. The cubic root of 215216496 is about 599.2736543916.

The spelling of 215216496 in words is "two hundred fifteen million, two hundred sixteen thousand, four hundred ninety-six".