82891536 has 120 divisors (see below), whose sum is σ = 268357824. Its totient is φ = 21853440.

The previous prime is 82891481. The next prime is 82891537. The reversal of 82891536 is 63519828.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (82891537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29221 + ... + 31931.

Almost surely, 2^82891536 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 82891536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134178912).

82891536 is an abundant number, since it is smaller than the sum of its proper divisors (185466288).

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

82891536 is a wasteful number, since it uses less digits than its factorization.

82891536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2736 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 82891536 is about 9104.4788977733. The cubic root of 82891536 is about 436.0169732191.

The spelling of 82891536 in words is "eighty-two million, eight hundred ninety-one thousand, five hundred thirty-six".