15904896 has 128 divisors (see below), whose sum is σ = 49580160. Its totient is φ = 4423680.

The previous prime is 15904879. The next prime is 15904897. The reversal of 15904896 is 69840951.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15904897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163920 + ... + 164016.

It is an arithmetic number, because the mean of its divisors is an integer number (387345).

Almost surely, 2^15904896 is an apocalyptic number.

15904896 is a gapful number since it is divisible by the number (16) 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 15904896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24790080).

15904896 is an abundant number, since it is smaller than the sum of its proper divisors (33675264).

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

15904896 is an equidigital number, since it uses as much as digits as its factorization.

15904896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 15904896 is about 3988.0942817341. The cubic root of 15904896 is about 251.4839527749.

The spelling of 15904896 in words is "fifteen million, nine hundred four thousand, eight hundred ninety-six".