83081664 has 84 divisors (see below), whose sum is σ = 240755424. Its totient is φ = 27389952.

The previous prime is 83081659. The next prime is 83081683. The reversal of 83081664 is 46618038.

It is a happy number.

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

It is a congruent number.

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, 55129 + ... + 56615.

It is an arithmetic number, because the mean of its divisors is an integer number (2866136).

Almost surely, 2^83081664 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 83081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120377712).

83081664 is an abundant number, since it is smaller than the sum of its proper divisors (157673760).

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

83081664 is a wasteful number, since it uses less digits than its factorization.

83081664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83081664 is about 9114.9143715122. The cubic root of 83081664 is about 436.3500821547.

The spelling of 83081664 in words is "eighty-three million, eighty-one thousand, six hundred sixty-four".