81824832 has 42 divisors (see below), whose sum is σ = 234537758. Its totient is φ = 27274752.

The previous prime is 81824819. The next prime is 81824837. The reversal of 81824832 is 23842818.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 41679936 + 40144896 = 6456^2 + 6336^2 .

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 (81824837) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70453 + ... + 71604.

Almost surely, 2^81824832 is an apocalyptic number.

It is an amenable number.

81824832 is an abundant number, since it is smaller than the sum of its proper divisors (152712926).

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

81824832 is a wasteful number, since it uses less digits than its factorization.

81824832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142075 (or 142062 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 81824832 is about 9045.7079324948. The cubic root of 81824832 is about 434.1385726954.

The spelling of 81824832 in words is "eighty-one million, eight hundred twenty-four thousand, eight hundred thirty-two".