5295600 has 90 divisors (see below), whose sum is σ = 18389696. Its totient is φ = 1411200.

The previous prime is 5295599. The next prime is 5295617. The reversal of 5295600 is 65925.

5295600 is a `hidden beast` number, since 52 + 9 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2865 + ... + 4335.

Almost surely, 2^5295600 is an apocalyptic number.

5295600 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 5295600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194848).

5295600 is an abundant number, since it is smaller than the sum of its proper divisors (13094096).

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

5295600 is a wasteful number, since it uses less digits than its factorization.

5295600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5295600 is about 2301.2170692918. The cubic root of 5295600 is about 174.3030785991.

The spelling of 5295600 in words is "five million, two hundred ninety-five thousand, six hundred".