11460800 has 168 divisors, whose sum is σ = 33070800. Its totient is φ = 3870720.

The previous prime is 11460769. The next prime is 11460817. The reversal of 11460800 is 806411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395186 + ... + 395214.

It is an arithmetic number, because the mean of its divisors is an integer number (196850).

Almost surely, 2^11460800 is an apocalyptic number.

11460800 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 11460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16535400).

11460800 is an abundant number, since it is smaller than the sum of its proper divisors (21610000).

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

11460800 is a wasteful number, since it uses less digits than its factorization.

11460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 11460800 is about 3385.3803331384. The cubic root of 11460800 is about 225.4611119709.

The spelling of 11460800 in words is "eleven million, four hundred sixty thousand, eight hundred".