81834192 has 160 divisors (see below), whose sum is σ = 271589760. Its totient is φ = 23316480.

The previous prime is 81834187. The next prime is 81834211. The reversal of 81834192 is 29143818.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80278 + ... + 81290.

It is an arithmetic number, because the mean of its divisors is an integer number (1697436).

Almost surely, 2^81834192 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 81834192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135794880).

81834192 is an abundant number, since it is smaller than the sum of its proper divisors (189755568).

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

81834192 is a wasteful number, since it uses less digits than its factorization.

81834192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1046 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 81834192 is about 9046.2252901417. The cubic root of 81834192 is about 434.1551258696.

The spelling of 81834192 in words is "eighty-one million, eight hundred thirty-four thousand, one hundred ninety-two".