15825480 has 128 divisors (see below), whose sum is σ = 54604800. Its totient is φ = 3628800.

The previous prime is 15825479. The next prime is 15825497. The reversal of 15825480 is 8452851.

15825480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24765 + ... + 25395.

It is an arithmetic number, because the mean of its divisors is an integer number (426600).

Almost surely, 2^15825480 is an apocalyptic number.

15825480 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 15825480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27302400).

15825480 is an abundant number, since it is smaller than the sum of its proper divisors (38779320).

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

15825480 is a wasteful number, since it uses less digits than its factorization.

15825480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 15825480 is about 3978.1251865672. The cubic root of 15825480 is about 251.0646860048.

The spelling of 15825480 in words is "fifteen million, eight hundred twenty-five thousand, four hundred eighty".