11146400 has 36 divisors (see below), whose sum is σ = 27213102. Its totient is φ = 4458240.

The previous prime is 11146393. The next prime is 11146403. The reversal of 11146400 is 464111.

It can be written as a sum of positive squares in 3 ways, for example, as 10837264 + 309136 = 3292^2 + 556^2 .

It is not an unprimeable number, because it can be changed into a prime (11146403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6167 + ... + 7766.

Almost surely, 2^11146400 is an apocalyptic number.

11146400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11146400 is an abundant number, since it is smaller than the sum of its proper divisors (16066702).

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

11146400 is a wasteful number, since it uses less digits than its factorization.

11146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13953 (or 13940 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11146400 is about 3338.6224704210. The cubic root of 11146400 is about 223.3803024897.

The spelling of 11146400 in words is "eleven million, one hundred forty-six thousand, four hundred".