82936224 has 180 divisors, whose sum is σ = 284170194. Its totient is φ = 23659776.

The previous prime is 82936223. The next prime is 82936279. The reversal of 82936224 is 42263928.

82936224 is a `hidden beast` number, since 8 + 29 + 3 + 622 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 5143824 = 8820^2 + 2268^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (82936223) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126682 + ... + 127334.

Almost surely, 2^82936224 is an apocalyptic number.

82936224 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 82936224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142085097).

82936224 is an abundant number, since it is smaller than the sum of its proper divisors (201233970).

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

82936224 is a wasteful number, since it uses less digits than its factorization.

82936224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 665 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 82936224 is about 9106.9327437947. The cubic root of 82936224 is about 436.0953134494.

The spelling of 82936224 in words is "eighty-two million, nine hundred thirty-six thousand, two hundred twenty-four".