11859792 has 80 divisors (see below), whose sum is σ = 35807232. Its totient is φ = 3312000.

The previous prime is 11859791. The next prime is 11859817. The reversal of 11859792 is 29795811.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (45360) is a multiple of the sum of its prime divisors (810).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11859791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15417 + ... + 16167.

Almost surely, 2^11859792 is an apocalyptic number.

11859792 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 11859792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17903616).

11859792 is an abundant number, since it is smaller than the sum of its proper divisors (23947440).

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

11859792 is a wasteful number, since it uses less digits than its factorization.

11859792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its digits is 45360, while the sum is 42.

The square root of 11859792 is about 3443.8048725211. The cubic root of 11859792 is about 228.0476970080.

11859792 divided by its sum of digits (42) gives a triangular number (282376 = T₇₅₁).

The spelling of 11859792 in words is "eleven million, eight hundred fifty-nine thousand, seven hundred ninety-two".