82616688 has 120 divisors (see below), whose sum is σ = 288302976. Its totient is φ = 21456000.

The previous prime is 82616683. The next prime is 82616689. The reversal of 82616688 is 88661628.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82616683) 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, 7363 + ... + 14813.

Almost surely, 2^82616688 is an apocalyptic number.

82616688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82616688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144151488).

82616688 is an abundant number, since it is smaller than the sum of its proper divisors (205686288).

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

82616688 is a wasteful number, since it uses less digits than its factorization.

82616688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7483 (or 7474 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 82616688 is about 9089.3722555521. The cubic root of 82616688 is about 435.5345311631.

The spelling of 82616688 in words is "eighty-two million, six hundred sixteen thousand, six hundred eighty-eight".