74004960 has 96 divisors (see below), whose sum is σ = 237595680. Its totient is φ = 19355648.

The previous prime is 74004947. The next prime is 74004971. The reversal of 74004960 is 6940047.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23986 + ... + 26894.

It is an arithmetic number, because the mean of its divisors is an integer number (2474955).

Almost surely, 2^74004960 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 74004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118797840).

74004960 is an abundant number, since it is smaller than the sum of its proper divisors (163590720).

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

74004960 is a wasteful number, since it uses less digits than its factorization.

74004960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 74004960 is about 8602.6135563560. The cubic root of 74004960 is about 419.8430252383.

The spelling of 74004960 in words is "seventy-four million, four thousand, nine hundred sixty".