82494432 has 72 divisors (see below), whose sum is σ = 236874456. Its totient is φ = 27230976.

The previous prime is 82494397. The next prime is 82494437. The reversal of 82494432 is 23449428.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×82494432² = 13610662622005248, which contains 22 as substring.

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 (82494437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29478 + ... + 32154.

It is an arithmetic number, because the mean of its divisors is an integer number (3289923).

Almost surely, 2^82494432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82494432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118437228).

82494432 is an abundant number, since it is smaller than the sum of its proper divisors (154380024).

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

82494432 is a wasteful number, since it uses less digits than its factorization.

82494432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2789 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 82494432 is about 9082.6445488085. The cubic root of 82494432 is about 435.3195907464.

The spelling of 82494432 in words is "eighty-two million, four hundred ninety-four thousand, four hundred thirty-two".