216048624 has 80 divisors (see below), whose sum is σ = 625376640. Its totient is φ = 63694080.

The previous prime is 216048611. The next prime is 216048653. The reversal of 216048624 is 426840612.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14007 + ... + 25065.

It is an arithmetic number, because the mean of its divisors is an integer number (7817208).

Almost surely, 2^216048624 is an apocalyptic number.

216048624 is a gapful number since it is divisible by the number (24) 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 216048624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312688320).

216048624 is an abundant number, since it is smaller than the sum of its proper divisors (409328016).

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

216048624 is a wasteful number, since it uses less digits than its factorization.

216048624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11118 (or 11112 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 216048624 is about 14698.5925856866. The cubic root of 216048624 is about 600.0450188443.

The spelling of 216048624 in words is "two hundred sixteen million, forty-eight thousand, six hundred twenty-four".