11472980 has 48 divisors (see below), whose sum is σ = 25280640. Its totient is φ = 4368000.

The previous prime is 11472973. The next prime is 11472983. The reversal of 11472980 is 8927411.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11472983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75905 + ... + 76055.

It is an arithmetic number, because the mean of its divisors is an integer number (526680).

Almost surely, 2^11472980 is an apocalyptic number.

11472980 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 11472980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640320).

11472980 is an abundant number, since it is smaller than the sum of its proper divisors (13807660).

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

11472980 is a wasteful number, since it uses less digits than its factorization.

11472980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 11472980 is about 3387.1787670567. The cubic root of 11472980 is about 225.5409535208.

The spelling of 11472980 in words is "eleven million, four hundred seventy-two thousand, nine hundred eighty".