74085648 has 120 divisors (see below), whose sum is σ = 239859648. Its totient is φ = 19531008.

The previous prime is 74085601. The next prime is 74085667. The reversal of 74085648 is 84658047.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 29365 + ... + 31787.

Almost surely, 2^74085648 is an apocalyptic number.

74085648 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74085648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119929824).

74085648 is an abundant number, since it is smaller than the sum of its proper divisors (165774000).

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

74085648 is a wasteful number, since it uses less digits than its factorization.

74085648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 74085648 is about 8607.3020163115. The cubic root of 74085648 is about 419.9955555085.

The spelling of 74085648 in words is "seventy-four million, eighty-five thousand, six hundred forty-eight".