11345880 has 128 divisors (see below), whose sum is σ = 41932800. Its totient is φ = 2391552.

The previous prime is 11345857. The next prime is 11345881. The reversal of 11345880 is 8854311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11345881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10401 + ... + 11439.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 2^11345880 is an apocalyptic number.

11345880 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 11345880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

11345880 is an abundant number, since it is smaller than the sum of its proper divisors (30586920).

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

11345880 is a wasteful number, since it uses less digits than its factorization.

11345880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 11345880 is about 3368.3645883425. The cubic root of 11345880 is about 224.7049960971.

The spelling of 11345880 in words is "eleven million, three hundred forty-five thousand, eight hundred eighty".