82349568 has 320 divisors, whose sum is σ = 298552320. Its totient is φ = 21897216.

The previous prime is 82349567. The next prime is 82349569. The reversal of 82349568 is 86594328.

82349568 is a `hidden beast` number, since 82 + 3 + 4 + 9 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (82349567) and next prime (82349569).

Its product of digits (414720) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82349567) 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, 2225646 + ... + 2225682.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 2^82349568 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 82349568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

82349568 is an abundant number, since it is smaller than the sum of its proper divisors (216202752).

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

82349568 is a wasteful number, since it uses less digits than its factorization.

82349568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 82349568 is about 9074.6662748555. Note that the first 3 decimals coincide. The cubic root of 82349568 is about 435.0646277343.

The spelling of 82349568 in words is "eighty-two million, three hundred forty-nine thousand, five hundred sixty-eight".