5745600 has 336 divisors, whose sum is σ = 25196800. Its totient is φ = 1244160.

The previous prime is 5745599. The next prime is 5745629. The reversal of 5745600 is 65475.

5745600 is a `hidden beast` number, since 57 + 4 + 5 + 600 = 666.

5745600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302391 + ... + 302409.

Almost surely, 2^5745600 is an apocalyptic number.

5745600 is a gapful number since it is divisible by the number (50) 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 5745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12598400).

5745600 is an abundant number, since it is smaller than the sum of its proper divisors (19451200).

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

5745600 is a wasteful number, since it uses less digits than its factorization.

5745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5745600 is about 2396.9981226526. The cubic root of 5745600 is about 179.1066850474.

The spelling of 5745600 in words is "five million, seven hundred forty-five thousand, six hundred".