82307088 has 120 divisors (see below), whose sum is σ = 246636000. Its totient is φ = 25546752.

The previous prime is 82307063. The next prime is 82307089. The reversal of 82307088 is 88070328.

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

It is not an unprimeable number, because it can be changed into a prime (82307089) 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, 183088 + ... + 183536.

It is an arithmetic number, because the mean of its divisors is an integer number (2055300).

Almost surely, 2^82307088 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 82307088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123318000).

82307088 is an abundant number, since it is smaller than the sum of its proper divisors (164328912).

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

82307088 is a wasteful number, since it uses less digits than its factorization.

82307088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 82307088 is about 9072.3253909899. The cubic root of 82307088 is about 434.9898055479.

The spelling of 82307088 in words is "eighty-two million, three hundred seven thousand, eighty-eight".