74616 has 16 divisors (see below), whose sum is σ = 186600. Its totient is φ = 24864.

The previous prime is 74611. The next prime is 74623. The reversal of 74616 is 61647.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3109 = 74616 / (7 + 4 + 6 + 1 + 6).

It is a d-powerful number, because it can be written as 7 + 4⁸ + 6⁴ + 1 + 6⁵ .

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74611) by changing a digit.

74616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1531 + ... + 1578.

2⁷⁴⁶¹⁶ is an apocalyptic number.

It is an amenable number.

74616 is an abundant number, since it is smaller than the sum of its proper divisors (111984).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93300).

74616 is a wasteful number, since it uses less digits than its factorization.

74616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3114 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 74616 is about 273.1592941856. The cubic root of 74616 is about 42.0995371599.

The spelling of 74616 in words is "seventy-four thousand, six hundred sixteen".