11792640 has 144 divisors (see below), whose sum is σ = 39146688. Its totient is φ = 3022848.

The previous prime is 11792609. The next prime is 11792681. The reversal of 11792640 is 4629711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11792598 and 11792607.

It is a congruent number.

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, 142039 + ... + 142121.

It is an arithmetic number, because the mean of its divisors is an integer number (271852).

Almost surely, 2^11792640 is an apocalyptic number.

11792640 is a gapful number since it is divisible by the number (10) 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 11792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19573344).

11792640 is an abundant number, since it is smaller than the sum of its proper divisors (27354048).

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

11792640 is an equidigital number, since it uses as much as digits as its factorization.

11792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 11792640 is about 3434.0413509450. The cubic root of 11792640 is about 227.6164681587.

The spelling of 11792640 in words is "eleven million, seven hundred ninety-two thousand, six hundred forty".