81877032 has 96 divisors (see below), whose sum is σ = 236882880. Its totient is φ = 25459200.

The previous prime is 81877009. The next prime is 81877039. The reversal of 81877032 is 23077818.

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

It is not an unprimeable number, because it can be changed into a prime (81877039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184603 + ... + 185045.

It is an arithmetic number, because the mean of its divisors is an integer number (2467530).

Almost surely, 2^81877032 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 81877032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118441440).

81877032 is an abundant number, since it is smaller than the sum of its proper divisors (155005848).

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

81877032 is a wasteful number, since it uses less digits than its factorization.

81877032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 81877032 is about 9048.5928187757. The cubic root of 81877032 is about 434.2308723701.

The spelling of 81877032 in words is "eighty-one million, eight hundred seventy-seven thousand, thirty-two".