82734912 has 224 divisors, whose sum is σ = 273100800. Its totient is φ = 24385536.

The previous prime is 82734907. The next prime is 82734913. The reversal of 82734912 is 21943728.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82734913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651393 + ... + 651519.

It is an arithmetic number, because the mean of its divisors is an integer number (1219200).

Almost surely, 2^82734912 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 82734912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136550400).

82734912 is an abundant number, since it is smaller than the sum of its proper divisors (190365888).

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

82734912 is a wasteful number, since it uses less digits than its factorization.

82734912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 82734912 is about 9095.8733500418. The cubic root of 82734912 is about 435.7421812728.

The spelling of 82734912 in words is "eighty-two million, seven hundred thirty-four thousand, nine hundred twelve".