15906480 has 80 divisors (see below), whose sum is σ = 49711104. Its totient is φ = 4207360.

The previous prime is 15906469. The next prime is 15906493. The reversal of 15906480 is 8460951.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×15906480³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 45667 + ... + 46013.

Almost surely, 2^15906480 is an apocalyptic number.

15906480 is a gapful number since it is divisible by the number (10) 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 15906480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24855552).

15906480 is an abundant number, since it is smaller than the sum of its proper divisors (33804624).

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

15906480 is a wasteful number, since it uses less digits than its factorization.

15906480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 15906480 is about 3988.2928678822. The cubic root of 15906480 is about 251.4923010922.

The spelling of 15906480 in words is "fifteen million, nine hundred six thousand, four hundred eighty".