74506960 has 120 divisors (see below), whose sum is σ = 195924960. Its totient is φ = 26315520.

The previous prime is 74506933. The next prime is 74506967. The reversal of 74506960 is 6960547.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74506967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416151 + ... + 416329.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^74506960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74506960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97962480).

74506960 is an abundant number, since it is smaller than the sum of its proper divisors (121418000).

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

74506960 is a wasteful number, since it uses less digits than its factorization.

74506960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 74506960 is about 8631.7414233745. The cubic root of 74506960 is about 420.7901979337.

It can be divided in two parts, 74506 and 960, that added together give a triangular number (75466 = T₃₈₈).

The spelling of 74506960 in words is "seventy-four million, five hundred six thousand, nine hundred sixty".