11077120 has 40 divisors (see below), whose sum is σ = 26565264. Its totient is φ = 4429824.

The previous prime is 11077117. The next prime is 11077139. The reversal of 11077120 is 2177011.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 397 + ... + 4723.

Almost surely, 2^11077120 is an apocalyptic number.

11077120 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 11077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13282632).

11077120 is an abundant number, since it is smaller than the sum of its proper divisors (15488144).

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

11077120 is an frugal number, since it uses more digits than its factorization.

11077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 19.

The square root of 11077120 is about 3328.2307612304. The cubic root of 11077120 is about 222.9165365630.

The spelling of 11077120 in words is "eleven million, seventy-seven thousand, one hundred twenty".