11545600 has 132 divisors (see below), whose sum is σ = 31982328. Its totient is φ = 4096000.

The previous prime is 11545577. The next prime is 11545603. The reversal of 11545600 is 654511.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11545603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281580 + ... + 281620.

Almost surely, 2^11545600 is an apocalyptic number.

11545600 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 11545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991164).

11545600 is an abundant number, since it is smaller than the sum of its proper divisors (20436728).

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

11545600 is a wasteful number, since it uses less digits than its factorization.

11545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 11545600 is about 3397.8816930552. The cubic root of 11545600 is about 226.0158184558.

11545600 divided by its sum of digits (22) gives a triangular number (524800 = T₁₀₂₄).

The spelling of 11545600 in words is "eleven million, five hundred forty-five thousand, six hundred".