11536720 has 40 divisors (see below), whose sum is σ = 28888776. Its totient is φ = 4259328.

The previous prime is 11536699. The next prime is 11536783. The reversal of 11536720 is 2763511.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 10471696 = 1032^2 + 3236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4507 + ... + 6586.

Almost surely, 2^11536720 is an apocalyptic number.

11536720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11536720 is an abundant number, since it is smaller than the sum of its proper divisors (17352056).

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

11536720 is a wasteful number, since it uses less digits than its factorization.

11536720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11119 (or 11113 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 11536720 is about 3396.5747452397. The cubic root of 11536720 is about 225.9578588511.

The spelling of 11536720 in words is "eleven million, five hundred thirty-six thousand, seven hundred twenty".