74093616 has 240 divisors, whose sum is σ = 243734400. Its totient is φ = 21648384.

The previous prime is 74093611. The next prime is 74093623. The reversal of 74093616 is 61639047.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (74093611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1255795 + ... + 1255853.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^74093616 is an apocalyptic number.

74093616 is a gapful number since it is divisible by the number (76) 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 74093616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

74093616 is an abundant number, since it is smaller than the sum of its proper divisors (169640784).

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

74093616 is a wasteful number, since it uses less digits than its factorization.

74093616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 74093616 is about 8607.7648666771. The cubic root of 74093616 is about 420.0106119768.

It can be divided in two parts, 7409 and 3616, that added together give a square (11025 = 105²).

The spelling of 74093616 in words is "seventy-four million, ninety-three thousand, six hundred sixteen".