82644848 has 80 divisors (see below), whose sum is σ = 192925152. Its totient is φ = 33792000.

The previous prime is 82644841. The next prime is 82644883. The reversal of 82644848 is 84844628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 82644799 and 82644808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82644841) 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, 93368 + ... + 94248.

Almost surely, 2^82644848 is an apocalyptic number.

82644848 is a gapful number since it is divisible by the number (88) 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 82644848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96462576).

82644848 is an abundant number, since it is smaller than the sum of its proper divisors (110280304).

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

82644848 is a wasteful number, since it uses less digits than its factorization.

82644848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 948 counting only the distinct ones).

The product of its digits is 393216, while the sum is 44.

The square root of 82644848 is about 9090.9211854465. The cubic root of 82644848 is about 435.5840097026.

The spelling of 82644848 in words is "eighty-two million, six hundred forty-four thousand, eight hundred forty-eight".