83064144 has 80 divisors (see below), whose sum is σ = 221450112. Its totient is φ = 26817024.

The previous prime is 83064139. The next prime is 83064161. The reversal of 83064144 is 44146038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261874 + ... + 262190.

Almost surely, 2^83064144 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 83064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110725056).

83064144 is an abundant number, since it is smaller than the sum of its proper divisors (138385968).

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

83064144 is a wasteful number, since it uses less digits than its factorization.

83064144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 83064144 is about 9113.9532586030. The cubic root of 83064144 is about 436.3194079542.

The spelling of 83064144 in words is "eighty-three million, sixty-four thousand, one hundred forty-four".