11472880 has 40 divisors (see below), whose sum is σ = 27123264. Its totient is φ = 4512000.

The previous prime is 11472871. The next prime is 11472887. The reversal of 11472880 is 8827411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11472887) 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, 3705 + ... + 6055.

Almost surely, 2^11472880 is an apocalyptic number.

11472880 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 11472880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561632).

11472880 is an abundant number, since it is smaller than the sum of its proper divisors (15650384).

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

11472880 is a wasteful number, since it uses less digits than its factorization.

11472880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 11472880 is about 3387.1640054771. The cubic root of 11472880 is about 225.5402982374.

The spelling of 11472880 in words is "eleven million, four hundred seventy-two thousand, eight hundred eighty".