11752680 has 64 divisors (see below), whose sum is σ = 36224640. Its totient is φ = 3048192.

The previous prime is 11752639. The next prime is 11752693. The reversal of 11752680 is 8625711.

11752680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3117 + ... + 5763.

It is an arithmetic number, because the mean of its divisors is an integer number (566010).

Almost surely, 2^11752680 is an apocalyptic number.

11752680 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 11752680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18112320).

11752680 is an abundant number, since it is smaller than the sum of its proper divisors (24471960).

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

11752680 is a wasteful number, since it uses less digits than its factorization.

11752680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 11752680 is about 3428.2181960896. The cubic root of 11752680 is about 227.3590803009.

The spelling of 11752680 in words is "eleven million, seven hundred fifty-two thousand, six hundred eighty".