83766528 has 72 divisors (see below), whose sum is σ = 247732800. Its totient is φ = 27919872.

The previous prime is 83766517. The next prime is 83766559. The reversal of 83766528 is 82566738.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 853 + ... + 12971.

Almost surely, 2^83766528 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 83766528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123866400).

83766528 is an abundant number, since it is smaller than the sum of its proper divisors (163966272).

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

83766528 is a wasteful number, since it uses less digits than its factorization.

83766528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12144 (or 12124 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 83766528 is about 9152.4055854185. The cubic root of 83766528 is about 437.5457854668.

The spelling of 83766528 in words is "eighty-three million, seven hundred sixty-six thousand, five hundred twenty-eight".