11880640 has 56 divisors (see below), whose sum is σ = 28602432. Its totient is φ = 4700160.

The previous prime is 11880619. The next prime is 11880647. The reversal of 11880640 is 4608811.

It is a super-2 number, since 2×11880640² = 282299213619200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11880599 and 11880608.

It is not an unprimeable number, because it can be changed into a prime (11880647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43705 + ... + 43975.

Almost surely, 2^11880640 is an apocalyptic number.

11880640 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 11880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301216).

11880640 is an abundant number, since it is smaller than the sum of its proper divisors (16721792).

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

11880640 is a wasteful number, since it uses less digits than its factorization.

11880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 11880640 is about 3446.8304280890. The cubic root of 11880640 is about 228.1812450293.

The spelling of 11880640 in words is "eleven million, eight hundred eighty thousand, six hundred forty".