11625792 has 56 divisors (see below), whose sum is σ = 31040832. Its totient is φ = 3840000.

The previous prime is 11625791. The next prime is 11625793. The reversal of 11625792 is 29752611.

It is an interprime number because it is at equal distance from previous prime (11625791) and next prime (11625793).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11625791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28792 + ... + 29192.

Almost surely, 2^11625792 is an apocalyptic number.

11625792 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 11625792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15520416).

11625792 is an abundant number, since it is smaller than the sum of its proper divisors (19415040).

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

11625792 is a wasteful number, since it uses less digits than its factorization.

11625792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 11625792 is about 3409.6615667834. The cubic root of 11625792 is about 226.5378891729.

The spelling of 11625792 in words is "eleven million, six hundred twenty-five thousand, seven hundred ninety-two".