15216768 has 256 divisors, whose sum is σ = 55814400. Its totient is φ = 3981312.

The previous prime is 15216763. The next prime is 15216769. The reversal of 15216768 is 86761251.

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

Its product of digits (20160) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (15216763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411246 + ... + 411282.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 2^15216768 is an apocalyptic number.

15216768 is a gapful number since it is divisible by the number (18) 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 15216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27907200).

15216768 is an abundant number, since it is smaller than the sum of its proper divisors (40597632).

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

15216768 is a wasteful number, since it uses less digits than its factorization.

15216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 15216768 is about 3900.8675958048. The cubic root of 15216768 is about 247.8035211056.

The spelling of 15216768 in words is "fifteen million, two hundred sixteen thousand, seven hundred sixty-eight".