11970792 has 48 divisors (see below), whose sum is σ = 33043140. Its totient is φ = 3913728.

The previous prime is 11970781. The next prime is 11970799. The reversal of 11970792 is 29707911.

11970792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9326916 + 2643876 = 3054^2 + 1626^2 .

It is a super-2 number, since 2×11970792² = 286599722214528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11970799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2248 + ... + 5384.

Almost surely, 2^11970792 is an apocalyptic number.

11970792 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 11970792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16521570).

11970792 is an abundant number, since it is smaller than the sum of its proper divisors (21072348).

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

11970792 is a wasteful number, since it uses less digits than its factorization.

11970792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 11970792 is about 3459.8832350240. The cubic root of 11970792 is about 228.7569486378.

It can be divided in two parts, 119 and 70792, that multiplied together give a palindrome (8424248).

The spelling of 11970792 in words is "eleven million, nine hundred seventy thousand, seven hundred ninety-two".