11157760 has 72 divisors (see below), whose sum is σ = 27961920. Its totient is φ = 4257792.

The previous prime is 11157739. The next prime is 11157767. The reversal of 11157760 is 6775111.

It is a nialpdrome in base 16.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (11157767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29251 + ... + 29629.

It is an arithmetic number, because the mean of its divisors is an integer number (388360).

Almost surely, 2^11157760 is an apocalyptic number.

11157760 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 11157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980960).

11157760 is an abundant number, since it is smaller than the sum of its proper divisors (16804160).

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

11157760 is an equidigital number, since it uses as much as digits as its factorization.

11157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 28.

The square root of 11157760 is about 3340.3233376426. The cubic root of 11157760 is about 223.4561637139.

The spelling of 11157760 in words is "eleven million, one hundred fifty-seven thousand, seven hundred sixty".