83825664 has 88 divisors (see below), whose sum is σ = 240727200. Its totient is φ = 25780224.

The previous prime is 83825659. The next prime is 83825669. The reversal of 83825664 is 46652838.

It is an interprime number because it is at equal distance from previous prime (83825659) and next prime (83825669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83825669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38887 + ... + 40985.

Almost surely, 2^83825664 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 83825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120363600).

83825664 is an abundant number, since it is smaller than the sum of its proper divisors (156901536).

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

83825664 is a wasteful number, since it uses less digits than its factorization.

83825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2117 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 83825664 is about 9155.6356415052. The cubic root of 83825664 is about 437.6487248377.

The spelling of 83825664 in words is "eighty-three million, eight hundred twenty-five thousand, six hundred sixty-four".