74938656 has 144 divisors (see below), whose sum is σ = 221356800. Its totient is φ = 22164480.

The previous prime is 74938649. The next prime is 74938657. The reversal of 74938656 is 65683947.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (74938657) by changing a digit.

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, 502870 + ... + 503018.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 2^74938656 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 74938656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110678400).

74938656 is an abundant number, since it is smaller than the sum of its proper divisors (146418144).

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

74938656 is a wasteful number, since it uses less digits than its factorization.

74938656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 74938656 is about 8656.7116158504. The cubic root of 74938656 is about 421.6013245484.

The spelling of 74938656 in words is "seventy-four million, nine hundred thirty-eight thousand, six hundred fifty-six".