11606400 has 288 divisors, whose sum is σ = 46038720. Its totient is φ = 2764800.

The previous prime is 11606389. The next prime is 11606423. The reversal of 11606400 is 460611.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374385 + ... + 374415.

Almost surely, 2^11606400 is an apocalyptic number.

11606400 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 11606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23019360).

11606400 is an abundant number, since it is smaller than the sum of its proper divisors (34432320).

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

11606400 is a wasteful number, since it uses less digits than its factorization.

11606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11606400 is about 3406.8166959788. The cubic root of 11606400 is about 226.4118628470.

The spelling of 11606400 in words is "eleven million, six hundred six thousand, four hundred".