15480864 has 108 divisors (see below), whose sum is σ = 51257934. Its totient is φ = 4419072.

The previous prime is 15480853. The next prime is 15480869. The reversal of 15480864 is 46808451.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 1192464 = 3780^2 + 1092^2 .

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

It is not an unprimeable number, because it can be changed into a prime (15480869) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13564 + ... + 14660.

Almost surely, 2^15480864 is an apocalyptic number.

15480864 is a gapful number since it is divisible by the number (14) 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 15480864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25628967).

15480864 is an abundant number, since it is smaller than the sum of its proper divisors (35777070).

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

15480864 is a wasteful number, since it uses less digits than its factorization.

15480864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 15480864 is about 3934.5729120198. The cubic root of 15480864 is about 249.2288987233.

It can be divided in two parts, 154 and 80864, that added together give a palindrome (81018).

The spelling of 15480864 in words is "fifteen million, four hundred eighty thousand, eight hundred sixty-four".