82848864 has 192 divisors, whose sum is σ = 265531392. Its totient is φ = 22118400.

The previous prime is 82848859. The next prime is 82848869. The reversal of 82848864 is 46884828.

It is an interprime number because it is at equal distance from previous prime (82848859) and next prime (82848869).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82848869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854064 + ... + 854160.

It is an arithmetic number, because the mean of its divisors is an integer number (1382976).

Almost surely, 2^82848864 is an apocalyptic number.

82848864 is a gapful number since it is divisible by the number (84) 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 82848864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132765696).

82848864 is an abundant number, since it is smaller than the sum of its proper divisors (182682528).

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

82848864 is a wasteful number, since it uses less digits than its factorization.

82848864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The square root of 82848864 is about 9102.1351341320. The cubic root of 82848864 is about 435.9421408506.

The spelling of 82848864 in words is "eighty-two million, eight hundred forty-eight thousand, eight hundred sixty-four".