83472768 has 160 divisors (see below), whose sum is σ = 253998360. Its totient is φ = 27205632.

The previous prime is 83472751. The next prime is 83472791. The reversal of 83472768 is 86727438.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 860496 + ... + 860592.

Almost surely, 2^83472768 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 83472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126999180).

83472768 is an abundant number, since it is smaller than the sum of its proper divisors (170525592).

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

83472768 is an equidigital number, since it uses as much as digits as its factorization.

83472768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 83472768 is about 9136.3432509949. The cubic root of 83472768 is about 437.0337114227.

The spelling of 83472768 in words is "eighty-three million, four hundred seventy-two thousand, seven hundred sixty-eight".