11478880 has 96 divisors (see below), whose sum is σ = 31945536. Its totient is φ = 3815424.

The previous prime is 11478833. The next prime is 11478881. The reversal of 11478880 is 8887411.

11478880 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 (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11478881) 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, 41302 + ... + 41578.

It is an arithmetic number, because the mean of its divisors is an integer number (332766).

Almost surely, 2^11478880 is an apocalyptic number.

11478880 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 11478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15972768).

11478880 is an abundant number, since it is smaller than the sum of its proper divisors (20466656).

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

11478880 is a wasteful number, since it uses less digits than its factorization.

11478880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 37.

The square root of 11478880 is about 3388.0495864140. The cubic root of 11478880 is about 225.5796085052.

The spelling of 11478880 in words is "eleven million, four hundred seventy-eight thousand, eight hundred eighty".