83467008 has 108 divisors (see below), whose sum is σ = 254931768. Its totient is φ = 26173440.

The previous prime is 83466989. The next prime is 83467031. The reversal of 83467008 is 80076438.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38103 + ... + 40233.

Almost surely, 2^83467008 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 83467008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127465884).

83467008 is an abundant number, since it is smaller than the sum of its proper divisors (171464760).

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

83467008 is a wasteful number, since it uses less digits than its factorization.

83467008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2153 counting only the distinct ones).

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

The square root of 83467008 is about 9136.0280209728. The cubic root of 83467008 is about 437.0236587547.

The spelling of 83467008 in words is "eighty-three million, four hundred sixty-seven thousand, eight".