11378880 has 140 divisors (see below), whose sum is σ = 40568880. Its totient is φ = 3027456.

The previous prime is 11378849. The next prime is 11378881. The reversal of 11378880 is 8887311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11378881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25701 + ... + 26139.

Almost surely, 2^11378880 is an apocalyptic number.

11378880 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 11378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20284440).

11378880 is an abundant number, since it is smaller than the sum of its proper divisors (29190000).

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

11378880 is an equidigital number, since it uses as much as digits as its factorization.

11378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 11378880 is about 3373.2595512353. The cubic root of 11378880 is about 224.9226400717.

The spelling of 11378880 in words is "eleven million, three hundred seventy-eight thousand, eight hundred eighty".