82169406 has 72 divisors (see below), whose sum is σ = 202168512. Its totient is φ = 24076800.

The previous prime is 82169393. The next prime is 82169443. The reversal of 82169406 is 60496128.

It is a super-2 number, since 2×82169406² = 13503622564785672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66910 + ... + 68126.

It is an arithmetic number, because the mean of its divisors is an integer number (2807896).

Almost surely, 2^82169406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82169406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101084256).

82169406 is an abundant number, since it is smaller than the sum of its proper divisors (119999106).

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

82169406 is a wasteful number, since it uses less digits than its factorization.

82169406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 82169406 is about 9064.7341935657. The cubic root of 82169406 is about 434.7471221475.

The spelling of 82169406 in words is "eighty-two million, one hundred sixty-nine thousand, four hundred six".