11512992 has 48 divisors (see below), whose sum is σ = 30935520. Its totient is φ = 3747072.

The previous prime is 11512987. The next prime is 11512999. The reversal of 11512992 is 29921511.

11512992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11512999) 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, 2734 + ... + 5522.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^11512992 is an apocalyptic number.

11512992 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 11512992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467760).

11512992 is an abundant number, since it is smaller than the sum of its proper divisors (19422528).

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

11512992 is a wasteful number, since it uses less digits than its factorization.

11512992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2837 counting only the distinct ones).

The product of its digits is 1620, while the sum is 30.

The square root of 11512992 is about 3393.0800167400. The cubic root of 11512992 is about 225.8028405549.

The spelling of 11512992 in words is "eleven million, five hundred twelve thousand, nine hundred ninety-two".