11649792 has 144 divisors (see below), whose sum is σ = 38852352. Its totient is φ = 3010560.

The previous prime is 11649791. The next prime is 11649809. The reversal of 11649792 is 29794611.

It is a self number, because there is not a number n which added to its sum of digits gives 11649792.

It is not an unprimeable number, because it can be changed into a prime (11649791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59038 + ... + 59234.

It is an arithmetic number, because the mean of its divisors is an integer number (269808).

Almost surely, 2^11649792 is an apocalyptic number.

11649792 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 11649792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19426176).

11649792 is an abundant number, since it is smaller than the sum of its proper divisors (27202560).

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

11649792 is a wasteful number, since it uses less digits than its factorization.

11649792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 11649792 is about 3413.1791631850. The cubic root of 11649792 is about 226.6936684480.

The spelling of 11649792 in words is "eleven million, six hundred forty-nine thousand, seven hundred ninety-two".