74658090 has 64 divisors (see below), whose sum is σ = 197116416. Its totient is φ = 17981952.

The previous prime is 74658071. The next prime is 74658097. The reversal of 74658090 is 9085647.

74658090 is a nontrivial binomial coefficient, being equal to C(12220, 2).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (74658097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16294 + ... + 20366.

It is an arithmetic number, because the mean of its divisors is an integer number (3079944).

Almost surely, 2^74658090 is an apocalyptic number.

74658090 is the 12219-th triangular number and also the 6110-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74658090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98558208).

74658090 is an abundant number, since it is smaller than the sum of its proper divisors (122458326).

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

74658090 is a wasteful number, since it uses less digits than its factorization.

74658090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 74658090 is about 8640.4913054756. The cubic root of 74658090 is about 421.0745162172.

The spelling of 74658090 in words is "seventy-four million, six hundred fifty-eight thousand, ninety".