82739610 has 64 divisors (see below), whose sum is σ = 228268800. Its totient is φ = 21301056.

The previous prime is 82739603. The next prime is 82739627. The reversal of 82739610 is 1693728.

82739610 is a `hidden beast` number, since 8 + 2 + 7 + 39 + 610 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2547 + ... + 13113.

It is an arithmetic number, because the mean of its divisors is an integer number (3566700).

Almost surely, 2^82739610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82739610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114134400).

82739610 is an abundant number, since it is smaller than the sum of its proper divisors (145529190).

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

82739610 is a wasteful number, since it uses less digits than its factorization.

82739610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 82739610 is about 9096.1315953541. The cubic root of 82739610 is about 435.7504288110.

The spelling of 82739610 in words is "eighty-two million, seven hundred thirty-nine thousand, six hundred ten".