82734600 has 96 divisors (see below), whose sum is σ = 276232320. Its totient is φ = 20363520.

The previous prime is 82734599. The next prime is 82734601. The reversal of 82734600 is 643728.

It is an interprime number because it is at equal distance from previous prime (82734599) and next prime (82734601).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (82734601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2497 + ... + 13103.

It is an arithmetic number, because the mean of its divisors is an integer number (2877420).

Almost surely, 2^82734600 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 82734600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

82734600 is an abundant number, since it is smaller than the sum of its proper divisors (193497720).

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

82734600 is a wasteful number, since it uses less digits than its factorization.

82734600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10639 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 82734600 is about 9095.8561993910. The cubic root of 82734600 is about 435.7416335326.

The spelling of 82734600 in words is "eighty-two million, seven hundred thirty-four thousand, six hundred".