11880990 has 72 divisors (see below), whose sum is σ = 33985224. Its totient is φ = 2877600.

The previous prime is 11880983. The next prime is 11880997. The reversal of 11880990 is 9908811.

11880990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11880983) and next prime (11880997).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11880997) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10345 + ... + 11435.

It is an arithmetic number, because the mean of its divisors is an integer number (472017).

Almost surely, 2^11880990 is an apocalyptic number.

11880990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11880990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992612).

11880990 is an abundant number, since it is smaller than the sum of its proper divisors (22104234).

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

11880990 is a wasteful number, since it uses less digits than its factorization.

11880990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 11880990 is about 3446.8811989971. The cubic root of 11880990 is about 228.1834857237.

The spelling of 11880990 in words is "eleven million, eight hundred eighty thousand, nine hundred ninety".