13608576 has 48 divisors (see below), whose sum is σ = 39163410. Its totient is φ = 4535808.

The previous prime is 13608533. The next prime is 13608583. The reversal of 13608576 is 67580631.

It can be written as a sum of positive squares in only one way, i.e., 12110400 + 1498176 = 3480^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13608576.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4755 + ... + 7058.

Almost surely, 2^13608576 is an apocalyptic number.

13608576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13608576 is an abundant number, since it is smaller than the sum of its proper divisors (25554834).

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

13608576 is a wasteful number, since it uses less digits than its factorization.

13608576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11833 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 13608576 is about 3688.9803469251. The cubic root of 13608576 is about 238.7468009403.

It can be divided in two parts, 136085 and 76, that added together give a square (136161 = 369²).

The spelling of 13608576 in words is "thirteen million, six hundred eight thousand, five hundred seventy-six".