15412560 has 80 divisors (see below), whose sum is σ = 48211200. Its totient is φ = 4072960.

The previous prime is 15412541. The next prime is 15412561. The reversal of 15412560 is 6521451.

15412560 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 tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 15412560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15412561) 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, 35545 + ... + 35975.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 2^15412560 is an apocalyptic number.

15412560 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 15412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

15412560 is an abundant number, since it is smaller than the sum of its proper divisors (32798640).

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

15412560 is a wasteful number, since it uses less digits than its factorization.

15412560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 15412560 is about 3925.8833400905. The cubic root of 15412560 is about 248.8618126488.

The spelling of 15412560 in words is "fifteen million, four hundred twelve thousand, five hundred sixty".