675906 has 72 divisors (see below), whose sum is σ = 1819440. Its totient is φ = 166320.

The previous prime is 675889. The next prime is 675923. The reversal of 675906 is 609576.

It is an interprime number because it is at equal distance from previous prime (675889) and next prime (675923).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 675906.

It is an unprimeable number.

675906 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 35 ways as a sum of consecutive naturals, for example, 35565 + ... + 35583.

It is an arithmetic number, because the mean of its divisors is an integer number (25270).

2⁶⁷⁵⁹⁰⁶ is an apocalyptic number.

675906 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 675906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909720).

675906 is an abundant number, since it is smaller than the sum of its proper divisors (1143534).

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

675906 is a wasteful number, since it uses less digits than its factorization.

675906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 675906 is about 822.1350254064. The cubic root of 675906 is about 87.7597614160.

The spelling of 675906 in words is "six hundred seventy-five thousand, nine hundred six".