75608 has 16 divisors (see below), whose sum is σ = 152880. Its totient is φ = 34848.

The previous prime is 75583. The next prime is 75611. The reversal of 75608 is 80657.

It is a Smith number, since the sum of its digits (26) 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 (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 260 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2⁷⁵⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

75608 is an abundant number, since it is smaller than the sum of its proper divisors (77272).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440).

75608 is a wasteful number, since it uses less digits than its factorization.

75608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 75608 is about 274.9690891719. The cubic root of 75608 is about 42.2852838316.

The spelling of 75608 in words is "seventy-five thousand, six hundred eight".