82589040 has 120 divisors (see below), whose sum is σ = 279075888. Its totient is φ = 21888000.

The previous prime is 82588993. The next prime is 82589051. The reversal of 82589040 is 4098528.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82588986 and 82589004.

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 23 ways as a sum of consecutive naturals, for example, 180492 + ... + 180948.

Almost surely, 2^82589040 is an apocalyptic number.

82589040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82589040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139537944).

82589040 is an abundant number, since it is smaller than the sum of its proper divisors (196486848).

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

82589040 is a wasteful number, since it uses less digits than its factorization.

82589040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82589040 is about 9087.8512311767. The cubic root of 82589040 is about 435.4859412938.

The spelling of 82589040 in words is "eighty-two million, five hundred eighty-nine thousand, forty".