74686000 has 80 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 29510400.

The previous prime is 74685983. The next prime is 74686009. The reversal of 74686000 is 68647.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (74686009) 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 15 ways as a sum of consecutive naturals, for example, 213826 + ... + 214174.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^74686000 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 74686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

74686000 is an abundant number, since it is smaller than the sum of its proper divisors (108114800).

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

74686000 is a wasteful number, since it uses less digits than its factorization.

74686000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 74686000 is about 8642.1062247579. The cubic root of 74686000 is about 421.1269808400.

The spelling of 74686000 in words is "seventy-four million, six hundred eighty-six thousand".