74960 has 20 divisors (see below), whose sum is σ = 174468. Its totient is φ = 29952.

The previous prime is 74959. The next prime is 75011. The reversal of 74960 is 6947.

It can be written as a sum of positive squares in 2 ways, for example, as 13456 + 61504 = 116^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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, 389 + ... + 548.

2⁷⁴⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

74960 is an abundant number, since it is smaller than the sum of its proper divisors (99508).

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 (87234).

74960 is a wasteful number, since it uses less digits than its factorization.

74960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 74960 is about 273.7882393384. The cubic root of 74960 is about 42.1641347526.

The spelling of 74960 in words is "seventy-four thousand, nine hundred sixty".