675600 has 60 divisors (see below), whose sum is σ = 2168016. Its totient is φ = 179840.

The previous prime is 675593. The next prime is 675601. The reversal of 675600 is 6576.

It is a tau number, because it is divible by the number of its divisors (60).

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 not an unprimeable number, because it can be changed into a prime (675601) by changing a digit.

675600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 919 + ... + 1481.

2⁶⁷⁵⁶⁰⁰ is an apocalyptic number.

675600 is a gapful number since it is divisible by the number (60) 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 675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084008).

675600 is an abundant number, since it is smaller than the sum of its proper divisors (1492416).

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

675600 is a wasteful number, since it uses less digits than its factorization.

675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 675600 is about 821.9489035214. The cubic root of 675600 is about 87.7465157179.

Subtracting from 675600 its sum of digits (24), we obtain a palindrome (675576).

It can be divided in two parts, 675 and 600, that added together give a triangular number (1275 = T₅₀).

The spelling of 675600 in words is "six hundred seventy-five thousand, six hundred".