11792080 has 20 divisors (see below), whose sum is σ = 27416772. Its totient is φ = 4716800.

The previous prime is 11792069. The next prime is 11792089. The reversal of 11792080 is 8029711.

It can be written as a sum of positive squares in 2 ways, for example, as 4631104 + 7160976 = 2152^2 + 2676^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11792089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73621 + ... + 73780.

Almost surely, 2^11792080 is an apocalyptic number.

11792080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11792080 is an abundant number, since it is smaller than the sum of its proper divisors (15624692).

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

11792080 is a wasteful number, since it uses less digits than its factorization.

11792080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147414 (or 147408 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 11792080 is about 3433.9598133933. The cubic root of 11792080 is about 227.6128651419.

The spelling of 11792080 in words is "eleven million, seven hundred ninety-two thousand, eighty".