11496800 has 72 divisors (see below), whose sum is σ = 32091696. Its totient is φ = 3939840.

The previous prime is 11496787. The next prime is 11496809. The reversal of 11496800 is 869411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11496809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4574 + ... + 6626.

It is an arithmetic number, because the mean of its divisors is an integer number (445718).

Almost surely, 2^11496800 is an apocalyptic number.

11496800 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 11496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045848).

11496800 is an abundant number, since it is smaller than the sum of its proper divisors (20594896).

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

11496800 is a wasteful number, since it uses less digits than its factorization.

11496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 11496800 is about 3390.6931444765. The cubic root of 11496800 is about 225.6969336811.

The spelling of 11496800 in words is "eleven million, four hundred ninety-six thousand, eight hundred".