82938870 has 96 divisors (see below), whose sum is σ = 257320800. Its totient is φ = 18954432.

The previous prime is 82938853. The next prime is 82938871. The reversal of 82938870 is 7883928.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82938871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10096 + ... + 16364.

It is an arithmetic number, because the mean of its divisors is an integer number (2680425).

Almost surely, 2^82938870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82938870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128660400).

82938870 is an abundant number, since it is smaller than the sum of its proper divisors (174381930).

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

82938870 is a wasteful number, since it uses less digits than its factorization.

82938870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 82938870 is about 9107.0780165759. The cubic root of 82938870 is about 436.0999511331.

The spelling of 82938870 in words is "eighty-two million, nine hundred thirty-eight thousand, eight hundred seventy".