83870120 has 64 divisors (see below), whose sum is σ = 197197200. Its totient is φ = 32071680.

The previous prime is 83870107. The next prime is 83870147. The reversal of 83870120 is 2107838.

It can be written as a sum of positive squares in 8 ways, for example, as 8145316 + 75724804 = 2854^2 + 8702^2 .

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, 89816 + ... + 90744.

Almost surely, 2^83870120 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 83870120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98598600).

83870120 is an abundant number, since it is smaller than the sum of its proper divisors (113327080).

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

83870120 is a wasteful number, since it uses less digits than its factorization.

83870120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 83870120 is about 9158.0631139996. The cubic root of 83870120 is about 437.7260785277.

Adding to 83870120 its reverse (2107838), we get a palindrome (85977958).

The spelling of 83870120 in words is "eighty-three million, eight hundred seventy thousand, one hundred twenty".