74001960 has 192 divisors, whose sum is σ = 262080000. Its totient is φ = 18040320.

The previous prime is 74001947. The next prime is 74002009. The reversal of 74001960 is 6910047.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 211866 + ... + 212214.

It is an arithmetic number, because the mean of its divisors is an integer number (1365000).

Almost surely, 2^74001960 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 74001960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040000).

74001960 is an abundant number, since it is smaller than the sum of its proper divisors (188078040).

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

74001960 is a wasteful number, since it uses less digits than its factorization.

74001960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 74001960 is about 8602.4391889743. The cubic root of 74001960 is about 419.8373519875.

The spelling of 74001960 in words is "seventy-four million, one thousand, nine hundred sixty".