82700064 has 144 divisors (see below), whose sum is σ = 248451840. Its totient is φ = 26058240.

The previous prime is 82700063. The next prime is 82700077. The reversal of 82700064 is 46000728.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (82700063) 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, 526674 + ... + 526830.

It is an arithmetic number, because the mean of its divisors is an integer number (1725360).

Almost surely, 2^82700064 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 82700064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124225920).

82700064 is an abundant number, since it is smaller than the sum of its proper divisors (165751776).

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

82700064 is a wasteful number, since it uses less digits than its factorization.

82700064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 82700064 is about 9093.9575543324. The cubic root of 82700064 is about 435.6809943825.

It can be divided in two parts, 8 and 2700064, that added together give a palindrome (2700072).

The spelling of 82700064 in words is "eighty-two million, seven hundred thousand, sixty-four".