5293600 has 72 divisors (see below), whose sum is σ = 13944420. Its totient is φ = 1950720.

The previous prime is 5293597. The next prime is 5293619. The reversal of 5293600 is 63925.

It can be written as a sum of positive squares in 6 ways, for example, as 1774224 + 3519376 = 1332^2 + 1876^2 .

It is a hoax number, since the sum of its digits (25) 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 (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10146 + ... + 10654.

Almost surely, 2^5293600 is an apocalyptic number.

5293600 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 5293600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972210).

5293600 is an abundant number, since it is smaller than the sum of its proper divisors (8650820).

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

5293600 is a wasteful number, since it uses less digits than its factorization.

5293600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 5293600 is about 2300.7824755939. The cubic root of 5293600 is about 174.2811327036.

It can be divided in two parts, 529 and 3600, that multiplied together give a square (1904400 = 1380²).

The spelling of 5293600 in words is "five million, two hundred ninety-three thousand, six hundred".