83970576 has 120 divisors (see below), whose sum is σ = 253019520. Its totient is φ = 25913088.

The previous prime is 83970569. The next prime is 83970613. The reversal of 83970576 is 67507938.

It is a happy number.

83970576 is a `hidden beast` number, since 8 + 3 + 9 + 70 + 576 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128266 + ... + 128918.

It is an arithmetic number, because the mean of its divisors is an integer number (2108496).

Almost surely, 2^83970576 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 83970576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126509760).

83970576 is an abundant number, since it is smaller than the sum of its proper divisors (169048944).

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

83970576 is a wasteful number, since it uses less digits than its factorization.

83970576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 83970576 is about 9163.5460385159. The cubic root of 83970576 is about 437.9007719172.

The spelling of 83970576 in words is "eighty-three million, nine hundred seventy thousand, five hundred seventy-six".