82706620 has 48 divisors (see below), whose sum is σ = 190794240. Its totient is φ = 29975616.

The previous prime is 82706593. The next prime is 82706623. The reversal of 82706620 is 2660728.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82706623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4009 + ... + 13471.

It is an arithmetic number, because the mean of its divisors is an integer number (3974880).

Almost surely, 2^82706620 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 82706620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95397120).

82706620 is an abundant number, since it is smaller than the sum of its proper divisors (108087620).

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

82706620 is a wasteful number, since it uses less digits than its factorization.

82706620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9514 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 82706620 is about 9094.3180063158. The cubic root of 82706620 is about 435.6925068650.

The spelling of 82706620 in words is "eighty-two million, seven hundred six thousand, six hundred twenty".