83589480 has 192 divisors, whose sum is σ = 298967760. Its totient is φ = 20127744.

The previous prime is 83589479. The next prime is 83589481. The reversal of 83589480 is 8498538.

It is an interprime number because it is at equal distance from previous prime (83589479) and next prime (83589481).

It can be written as a sum of positive squares in 8 ways, for example, as 20196036 + 63393444 = 4494^2 + 7962^2 .

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

It is not an unprimeable number, because it can be changed into a prime (83589481) 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, 247872 + ... + 248208.

Almost surely, 2^83589480 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 83589480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149483880).

83589480 is an abundant number, since it is smaller than the sum of its proper divisors (215378280).

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

83589480 is a wasteful number, since it uses less digits than its factorization.

83589480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 83589480 is about 9142.7282580201. The cubic root of 83589480 is about 437.2373040651.

The spelling of 83589480 in words is "eighty-three million, five hundred eighty-nine thousand, four hundred eighty".