11872980 has 144 divisors (see below), whose sum is σ = 42806400. Its totient is φ = 2706048.

The previous prime is 11872961. The next prime is 11873011. The reversal of 11872980 is 8927811.

11872980 is digitally balanced in base 2, because in such base 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33846 + ... + 34194.

Almost surely, 2^11872980 is an apocalyptic number.

11872980 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 11872980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21403200).

11872980 is an abundant number, since it is smaller than the sum of its proper divisors (30933420).

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

11872980 is a wasteful number, since it uses less digits than its factorization.

11872980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11872980 is about 3445.7190831523. The cubic root of 11872980 is about 228.1321948065.

The spelling of 11872980 in words is "eleven million, eight hundred seventy-two thousand, nine hundred eighty".