81802032 has 80 divisors (see below), whose sum is σ = 228839520. Its totient is φ = 25030656.

The previous prime is 81802027. The next prime is 81802057. The reversal of 81802032 is 23020818.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 81801993 and 81802011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210094 + ... + 210482.

It is an arithmetic number, because the mean of its divisors is an integer number (2860494).

Almost surely, 2^81802032 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 81802032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114419760).

81802032 is an abundant number, since it is smaller than the sum of its proper divisors (147037488).

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

81802032 is a wasteful number, since it uses less digits than its factorization.

81802032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 81802032 is about 9044.4475784870. The cubic root of 81802032 is about 434.0982455773.

The spelling of 81802032 in words is "eighty-one million, eight hundred two thousand, thirty-two".