74661408 has 72 divisors (see below), whose sum is σ = 213179148. Its totient is φ = 24786432.

The previous prime is 74661401. The next prime is 74661409. The reversal of 74661408 is 80416647.

It can be written as a sum of positive squares in 2 ways, for example, as 74442384 + 219024 = 8628^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (74661401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114010 + ... + 114662.

Almost surely, 2^74661408 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 74661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106589574).

74661408 is an abundant number, since it is smaller than the sum of its proper divisors (138517740).

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

74661408 is a wasteful number, since it uses less digits than its factorization.

74661408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 74661408 is about 8640.6833063132. The cubic root of 74661408 is about 421.0807540076.

The spelling of 74661408 in words is "seventy-four million, six hundred sixty-one thousand, four hundred eight".