74084040 has 96 divisors (see below), whose sum is σ = 253468800. Its totient is φ = 18714240.

The previous prime is 74084033. The next prime is 74084051. The reversal of 74084040 is 4048047.

It is a junction number, because it is equal to n+sod(n) for n = 74083995 and 74084013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1425 + ... + 12255.

It is an arithmetic number, because the mean of its divisors is an integer number (2640300).

Almost surely, 2^74084040 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 74084040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126734400).

74084040 is an abundant number, since it is smaller than the sum of its proper divisors (179384760).

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

74084040 is a wasteful number, since it uses less digits than its factorization.

74084040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10867 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 74084040 is about 8607.2086067435. The cubic root of 74084040 is about 419.9925168735.

The spelling of 74084040 in words is "seventy-four million, eighty-four thousand, forty".