11351880 has 128 divisors (see below), whose sum is σ = 39571200. Its totient is φ = 2889216.

The previous prime is 11351849. The next prime is 11351881. The reversal of 11351880 is 8815311.

11351880 is digitally balanced in base 2 and base 4, because in such bases 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 (27).

It is not an unprimeable number, because it can be changed into a prime (11351881) 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, 24612 + ... + 25068.

It is an arithmetic number, because the mean of its divisors is an integer number (309150).

Almost surely, 2^11351880 is an apocalyptic number.

11351880 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 11351880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19785600).

11351880 is an abundant number, since it is smaller than the sum of its proper divisors (28219320).

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

11351880 is a wasteful number, since it uses less digits than its factorization.

11351880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 11351880 is about 3369.2551105549. The cubic root of 11351880 is about 224.7445990891.

The spelling of 11351880 in words is "eleven million, three hundred fifty-one thousand, eight hundred eighty".