82246968 has 128 divisors (see below), whose sum is σ = 240537600. Its totient is φ = 26006400.

The previous prime is 82246961. The next prime is 82246993. The reversal of 82246968 is 86964228.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82246961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475330 + ... + 475502.

It is an arithmetic number, because the mean of its divisors is an integer number (1879200).

Almost surely, 2^82246968 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 82246968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120268800).

82246968 is an abundant number, since it is smaller than the sum of its proper divisors (158290632).

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

82246968 is a wasteful number, since it uses less digits than its factorization.

82246968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 82246968 is about 9069.0114124970. The cubic root of 82246968 is about 434.8838691185.

The spelling of 82246968 in words is "eighty-two million, two hundred forty-six thousand, nine hundred sixty-eight".