83525880 has 128 divisors (see below), whose sum is σ = 266872320. Its totient is φ = 20866560.

The previous prime is 83525867. The next prime is 83525921. The reversal of 83525880 is 8852538.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145995 + ... + 146565.

It is an arithmetic number, because the mean of its divisors is an integer number (2084940).

Almost surely, 2^83525880 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 83525880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133436160).

83525880 is an abundant number, since it is smaller than the sum of its proper divisors (183346440).

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

83525880 is a wasteful number, since it uses less digits than its factorization.

83525880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 83525880 is about 9139.2494221353. The cubic root of 83525880 is about 437.1263836148.

The spelling of 83525880 in words is "eighty-three million, five hundred twenty-five thousand, eight hundred eighty".