5625600 has 108 divisors (see below), whose sum is σ = 18629016. Its totient is φ = 1495040.

The previous prime is 5625563. The next prime is 5625617. The reversal of 5625600 is 65265.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19054 + ... + 19346.

Almost surely, 2^5625600 is an apocalyptic number.

5625600 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 5625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9314508).

5625600 is an abundant number, since it is smaller than the sum of its proper divisors (13003416).

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

5625600 is a wasteful number, since it uses less digits than its factorization.

5625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5625600 is about 2371.8347328598. The cubic root of 5625600 is about 177.8509883656.

It can be divided in two parts, 5625 and 600, that multiplied together give a cube (3375000 = 150³).

The spelling of 5625600 in words is "five million, six hundred twenty-five thousand, six hundred".