74285640 has 384 divisors, whose sum is σ = 300412800. Its totient is φ = 16174080.

The previous prime is 74285633. The next prime is 74285657. The reversal of 74285640 is 4658247.

74285640 is a `hidden beast` number, since 7 + 4 + 2 + 8 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74285595 and 74285604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2007702 + ... + 2007738.

It is an arithmetic number, because the mean of its divisors is an integer number (782325).

Almost surely, 2^74285640 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 74285640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150206400).

74285640 is an abundant number, since it is smaller than the sum of its proper divisors (226127160).

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

74285640 is a wasteful number, since it uses less digits than its factorization.

74285640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 74285640 is about 8618.9117642542. The cubic root of 74285640 is about 420.3731377853.

The spelling of 74285640 in words is "seventy-four million, two hundred eighty-five thousand, six hundred forty".