11536080 has 80 divisors (see below), whose sum is σ = 36319104. Its totient is φ = 3028480.

The previous prime is 11536079. The next prime is 11536121. The reversal of 11536080 is 8063511.

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

It is a super-2 number, since 2×11536080² = 266162283532800, which contains 22 as substring.

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 11536080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16702 + ... + 17378.

Almost surely, 2^11536080 is an apocalyptic number.

11536080 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 11536080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18159552).

11536080 is an abundant number, since it is smaller than the sum of its proper divisors (24783024).

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

11536080 is a wasteful number, since it uses less digits than its factorization.

11536080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 11536080 is about 3396.4805313736. The cubic root of 11536080 is about 225.9536804334.

Adding to 11536080 its reverse (8063511), we get a palindrome (19599591).

It can be divided in two parts, 115360 and 80, that added together give a triangular number (115440 = T₄₈₀).

The spelling of 11536080 in words is "eleven million, five hundred thirty-six thousand, eighty".