82457040 has 80 divisors (see below), whose sum is σ = 258912000. Its totient is φ = 21705216.

The previous prime is 82457009. The next prime is 82457041. The reversal of 82457040 is 4075428.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82456989 and 82457007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82457041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16786 + ... + 21134.

It is an arithmetic number, because the mean of its divisors is an integer number (3236400).

Almost surely, 2^82457040 is an apocalyptic number.

82457040 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 82457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129456000).

82457040 is an abundant number, since it is smaller than the sum of its proper divisors (176454960).

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

82457040 is a wasteful number, since it uses less digits than its factorization.

82457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 82457040 is about 9080.5858841817. The cubic root of 82457040 is about 435.2538088113.

The spelling of 82457040 in words is "eighty-two million, four hundred fifty-seven thousand, forty".