82314840 has 128 divisors (see below), whose sum is σ = 263808000. Its totient is φ = 20487168.

The previous prime is 82314829. The next prime is 82314863. The reversal of 82314840 is 4841328.

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 = 82314798 and 82314807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179892 + ... + 180348.

It is an arithmetic number, because the mean of its divisors is an integer number (2061000).

Almost surely, 2^82314840 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 82314840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131904000).

82314840 is an abundant number, since it is smaller than the sum of its proper divisors (181493160).

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

82314840 is a wasteful number, since it uses less digits than its factorization.

82314840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 82314840 is about 9072.7526142842. The cubic root of 82314840 is about 435.0034614601.

The spelling of 82314840 in words is "eighty-two million, three hundred fourteen thousand, eight hundred forty".