82601640 has 256 divisors, whose sum is σ = 318816000. Its totient is φ = 18800640.

The previous prime is 82601633. The next prime is 82601663. The reversal of 82601640 is 4610628.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 201756 + ... + 202164.

It is an arithmetic number, because the mean of its divisors is an integer number (1245375).

Almost surely, 2^82601640 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 82601640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159408000).

82601640 is an abundant number, since it is smaller than the sum of its proper divisors (236214360).

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

82601640 is a wasteful number, since it uses less digits than its factorization.

82601640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82601640 is about 9088.5444379174. The cubic root of 82601640 is about 435.5080864591.

The spelling of 82601640 in words is "eighty-two million, six hundred one thousand, six hundred forty".