81677232 has 240 divisors, whose sum is σ = 294647808. Its totient is φ = 20528640.

The previous prime is 81677227. The next prime is 81677237. The reversal of 81677232 is 23277618.

It is an interprime number because it is at equal distance from previous prime (81677227) and next prime (81677237).

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 (81677237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301257 + ... + 301527.

Almost surely, 2^81677232 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 81677232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147323904).

81677232 is an abundant number, since it is smaller than the sum of its proper divisors (212970576).

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

81677232 is a wasteful number, since it uses less digits than its factorization.

81677232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 81677232 is about 9037.5456845318. The cubic root of 81677232 is about 433.8773748005.

The spelling of 81677232 in words is "eighty-one million, six hundred seventy-seven thousand, two hundred thirty-two".