11352800 has 72 divisors (see below), whose sum is σ = 28966896. Its totient is φ = 4336640.

The previous prime is 11352797. The next prime is 11352841. The reversal of 11352800 is 825311.

11352800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18092 + ... + 18708.

It is an arithmetic number, because the mean of its divisors is an integer number (402318).

Almost surely, 2^11352800 is an apocalyptic number.

11352800 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 11352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483448).

11352800 is an abundant number, since it is smaller than the sum of its proper divisors (17614096).

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

11352800 is a wasteful number, since it uses less digits than its factorization.

11352800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 11352800 is about 3369.3916364828. The cubic root of 11352800 is about 224.7506703139.

The spelling of 11352800 in words is "eleven million, three hundred fifty-two thousand, eight hundred".