5715600 has 120 divisors (see below), whose sum is σ = 20019552. Its totient is φ = 1382400.

The previous prime is 5715583. The next prime is 5715601. The reversal of 5715600 is 65175.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5715601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12984 + ... + 13416.

Almost surely, 2^5715600 is an apocalyptic number.

5715600 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 5715600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10009776).

5715600 is an abundant number, since it is smaller than the sum of its proper divisors (14303952).

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

5715600 is a wasteful number, since it uses less digits than its factorization.

5715600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 5715600 is about 2390.7321054439. The cubic root of 5715600 is about 178.7944124895.

The spelling of 5715600 in words is "five million, seven hundred fifteen thousand, six hundred".