15420960 has 72 divisors (see below), whose sum is σ = 52628940. Its totient is φ = 4111872.

The previous prime is 15420949. The next prime is 15420967. The reversal of 15420960 is 6902451.

It can be written as a sum of positive squares in 2 ways, for example, as 14653584 + 767376 = 3828^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (15420967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3915 + ... + 6794.

Almost surely, 2^15420960 is an apocalyptic number.

15420960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15420960 is an abundant number, since it is smaller than the sum of its proper divisors (37207980).

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

15420960 is a wasteful number, since it uses less digits than its factorization.

15420960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10730 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 15420960 is about 3926.9530172896. The cubic root of 15420960 is about 248.9070151670.

The spelling of 15420960 in words is "fifteen million, four hundred twenty thousand, nine hundred sixty".