82255824 has 100 divisors (see below), whose sum is σ = 272112544. Its totient is φ = 23499072.

The previous prime is 82255819. The next prime is 82255937. The reversal of 82255824 is 42855228.

82255824 is a `hidden beast` number, since 82 + 2 + 558 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4539 + ... + 13605.

Almost surely, 2^82255824 is an apocalyptic number.

82255824 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 82255824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136056272).

82255824 is an abundant number, since it is smaller than the sum of its proper divisors (189856720).

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

82255824 is a wasteful number, since it uses less digits than its factorization.

82255824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094 (or 9079 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 82255824 is about 9069.4996554386. The cubic root of 82255824 is about 434.8994773669.

The spelling of 82255824 in words is "eighty-two million, two hundred fifty-five thousand, eight hundred twenty-four".