83344608 has 144 divisors (see below), whose sum is σ = 260048880. Its totient is φ = 25202688.

The previous prime is 83344607. The next prime is 83344627. The reversal of 83344608 is 80644338.

83344608 is a `hidden beast` number, since 8 + 3 + 3 + 44 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83344603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141691 + ... + 142277.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 2^83344608 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 83344608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130024440).

83344608 is an abundant number, since it is smaller than the sum of its proper divisors (176704272).

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

83344608 is a wasteful number, since it uses less digits than its factorization.

83344608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 83344608 is about 9129.3268097927. The cubic root of 83344608 is about 436.8099301369.

The spelling of 83344608 in words is "eighty-three million, three hundred forty-four thousand, six hundred eight".