15915648 has 128 divisors (see below), whose sum is σ = 50135040. Its totient is φ = 4377600.

The previous prime is 15915643. The next prime is 15915671. The reversal of 15915648 is 84651951.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×15915648³ (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15915643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83233 + ... + 83423.

It is an arithmetic number, because the mean of its divisors is an integer number (391680).

Almost surely, 2^15915648 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 15915648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25067520).

15915648 is an abundant number, since it is smaller than the sum of its proper divisors (34219392).

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

15915648 is a wasteful number, since it uses less digits than its factorization.

15915648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 15915648 is about 3989.4420662544. The cubic root of 15915648 is about 251.5406092573.

The spelling of 15915648 in words is "fifteen million, nine hundred fifteen thousand, six hundred forty-eight".