675840 has 104 divisors (see below), whose sum is σ = 2359008. Its totient is φ = 163840.

The previous prime is 675839. The next prime is 675841. The reversal of 675840 is 48576.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (675839) and next prime (675841).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 675798 and 675807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61435 + ... + 61445.

2⁶⁷⁵⁸⁴⁰ is an apocalyptic number.

675840 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 675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179504).

675840 is an abundant number, since it is smaller than the sum of its proper divisors (1683168).

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

675840 is a wasteful number, since it uses less digits than its factorization.

675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 675840 is about 822.0948850346. The cubic root of 675840 is about 87.7569048389.

Subtracting from 675840 its reverse (48576), we obtain a square (627264 = 792²).

The spelling of 675840 in words is "six hundred seventy-five thousand, eight hundred forty".