83525568 has 112 divisors (see below), whose sum is σ = 261396480. Its totient is φ = 23030784.

The previous prime is 83525557. The next prime is 83525579. The reversal of 83525568 is 86552538.

It is an interprime number because it is at equal distance from previous prime (83525557) and next prime (83525579).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 37905 + ... + 40047.

Almost surely, 2^83525568 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 83525568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130698240).

83525568 is an abundant number, since it is smaller than the sum of its proper divisors (177870912).

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

83525568 is a wasteful number, since it uses less digits than its factorization.

83525568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2184 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 83525568 is about 9139.2323528839. The cubic root of 83525568 is about 437.1258393380.

The spelling of 83525568 in words is "eighty-three million, five hundred twenty-five thousand, five hundred sixty-eight".