83671290 has 48 divisors (see below), whose sum is σ = 218717928. Its totient is φ = 22192128.

The previous prime is 83671267. The next prime is 83671337. The reversal of 83671290 is 9217638.

83671290 is a `hidden beast` number, since 8 + 367 + 1 + 290 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37417689 + 46253601 = 6117^2 + 6801^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14962 + ... + 19778.

Almost surely, 2^83671290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83671290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109358964).

83671290 is an abundant number, since it is smaller than the sum of its proper divisors (135046638).

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

83671290 is a wasteful number, since it uses less digits than its factorization.

83671290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 83671290 is about 9147.2012112996. The cubic root of 83671290 is about 437.3799006396.

The spelling of 83671290 in words is "eighty-three million, six hundred seventy-one thousand, two hundred ninety".