11691792 has 90 divisors (see below), whose sum is σ = 38085918. Its totient is φ = 3338496.

The previous prime is 11691787. The next prime is 11691793. The reversal of 11691792 is 29719611.

It can be written as a sum of positive squares in only one way, i.e., 9144576 + 2547216 = 3024^2 + 1596^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11691793) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6228 + ... + 7884.

Almost surely, 2^11691792 is an apocalyptic number.

11691792 is a gapful number since it is divisible by the number (12) 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 11691792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19042959).

11691792 is an abundant number, since it is smaller than the sum of its proper divisors (26394126).

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

11691792 is a wasteful number, since it uses less digits than its factorization.

11691792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1669 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 11691792 is about 3419.3262494240. The cubic root of 11691792 is about 226.9657681566.

The spelling of 11691792 in words is "eleven million, six hundred ninety-one thousand, seven hundred ninety-two".