82264824 has 48 divisors (see below), whose sum is σ = 229993920. Its totient is φ = 26536320.

The previous prime is 82264823. The next prime is 82264829. The reversal of 82264824 is 42846228.

It is a happy number.

82264824 is a `hidden beast` number, since 8 + 2 + 2 + 648 + 2 + 4 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82264823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16197 + ... + 20660.

It is an arithmetic number, because the mean of its divisors is an integer number (4791540).

Almost surely, 2^82264824 is an apocalyptic number.

It is an amenable number.

82264824 is an abundant number, since it is smaller than the sum of its proper divisors (147729096).

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

82264824 is a wasteful number, since it uses less digits than its factorization.

82264824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36900 (or 36893 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 82264824 is about 9069.9958103629. The cubic root of 82264824 is about 434.9153382602.

The spelling of 82264824 in words is "eighty-two million, two hundred sixty-four thousand, eight hundred twenty-four".