82598040 has 192 divisors, whose sum is σ = 311688000. Its totient is φ = 18579456.

The previous prime is 82598039. The next prime is 82598041. The reversal of 82598040 is 4089528.

It is an interprime number because it is at equal distance from previous prime (82598039) and next prime (82598041).

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 = 82597986 and 82598004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82598041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183736 + ... + 184184.

It is an arithmetic number, because the mean of its divisors is an integer number (1623375).

Almost surely, 2^82598040 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 82598040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155844000).

82598040 is an abundant number, since it is smaller than the sum of its proper divisors (229089960).

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

82598040 is a wasteful number, since it uses less digits than its factorization.

82598040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

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

The square root of 82598040 is about 9088.3463842439. The cubic root of 82598040 is about 435.5017594988.

The spelling of 82598040 in words is "eighty-two million, five hundred ninety-eight thousand, forty".