11758992 has 80 divisors (see below), whose sum is σ = 35235840. Its totient is φ = 3309696.

The previous prime is 11758987. The next prime is 11759009. The reversal of 11758992 is 29985711.

11758992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 factors (540).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26323 + ... + 26765.

It is an arithmetic number, because the mean of its divisors is an integer number (440448).

Almost surely, 2^11758992 is an apocalyptic number.

11758992 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 11758992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17617920).

11758992 is an abundant number, since it is smaller than the sum of its proper divisors (23476848).

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

11758992 is a wasteful number, since it uses less digits than its factorization.

11758992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

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

The square root of 11758992 is about 3429.1386673624. The cubic root of 11758992 is about 227.3997755204.

The spelling of 11758992 in words is "eleven million, seven hundred fifty-eight thousand, nine hundred ninety-two".