11135880 has 160 divisors (see below), whose sum is σ = 42863040. Its totient is φ = 2540160.

The previous prime is 11135879. The next prime is 11135897. The reversal of 11135880 is 8853111.

11135880 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22435 + ... + 22925.

It is an arithmetic number, because the mean of its divisors is an integer number (267894).

Almost surely, 2^11135880 is an apocalyptic number.

11135880 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 11135880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21431520).

11135880 is an abundant number, since it is smaller than the sum of its proper divisors (31727160).

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

11135880 is a wasteful number, since it uses less digits than its factorization.

11135880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

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

The square root of 11135880 is about 3337.0465984160. The cubic root of 11135880 is about 223.3100047413.

Adding to 11135880 its product of nonzero digits (960), we get a triangular number (11136840 = T₄₇₁₉).

Adding to 11135880 its reverse (8853111), we get a palindrome (19988991).

The spelling of 11135880 in words is "eleven million, one hundred thirty-five thousand, eight hundred eighty".