15964416 has 162 divisors, whose sum is σ = 51058098. Its totient is φ = 4792320.

The previous prime is 15964393. The next prime is 15964423. The reversal of 15964416 is 61446951.

15964416 is a `hidden beast` number, since 1 + 5 + 9 + 644 + 1 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1218816 + 14745600 = 1104^2 + 3840^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389356 + ... + 389396.

Almost surely, 2^15964416 is an apocalyptic number.

15964416 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 15964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25529049).

15964416 is an abundant number, since it is smaller than the sum of its proper divisors (35093682).

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

15964416 is a wasteful number, since it uses less digits than its factorization.

15964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

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

The square root of 15964416 is about 3995.5495241581. The cubic root of 15964416 is about 251.7972670290.

The spelling of 15964416 in words is "fifteen million, nine hundred sixty-four thousand, four hundred sixteen".