82579536 has 120 divisors (see below), whose sum is σ = 257094656. Its totient is φ = 24572160.

The previous prime is 82579531. The next prime is 82579537. The reversal of 82579536 is 63597528.

82579536 = T₃₁₁ + T₃₁₂ + ... + T₈₀₆.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82579491 and 82579500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82579531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57321 + ... + 58743.

Almost surely, 2^82579536 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 82579536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128547328).

82579536 is an abundant number, since it is smaller than the sum of its proper divisors (174515120).

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

82579536 is a wasteful number, since it uses less digits than its factorization.

82579536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1472 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 82579536 is about 9087.3283202490. The cubic root of 82579536 is about 435.4692360217.

The spelling of 82579536 in words is "eighty-two million, five hundred seventy-nine thousand, five hundred thirty-six".