83625880 has 64 divisors (see below), whose sum is σ = 205500960. Its totient is φ = 30440448.

The previous prime is 83625877. The next prime is 83625887. The reversal of 83625880 is 8852638.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83625887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36859 + ... + 39061.

Almost surely, 2^83625880 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 83625880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102750480).

83625880 is an abundant number, since it is smaller than the sum of its proper divisors (121875080).

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

83625880 is a wasteful number, since it uses less digits than its factorization.

83625880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 83625880 is about 9144.7186944159. The cubic root of 83625880 is about 437.3007615250.

The spelling of 83625880 in words is "eighty-three million, six hundred twenty-five thousand, eight hundred eighty".