11512680 has 64 divisors (see below), whose sum is σ = 34784640. Its totient is φ = 3048192.

The previous prime is 11512649. The next prime is 11512717. The reversal of 11512680 is 8621511.

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 11512680.

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, 23397 + ... + 23883.

It is an arithmetic number, because the mean of its divisors is an integer number (543510).

Almost surely, 2^11512680 is an apocalyptic number.

11512680 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 11512680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17392320).

11512680 is an abundant number, since it is smaller than the sum of its proper divisors (23271960).

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

11512680 is a wasteful number, since it uses less digits than its factorization.

11512680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 11512680 is about 3393.0340405012. The cubic root of 11512680 is about 225.8008007978.

The spelling of 11512680 in words is "eleven million, five hundred twelve thousand, six hundred eighty".