82607820 has 96 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 20712960.

The previous prime is 82607809. The next prime is 82607821. The reversal of 82607820 is 2870628.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82607821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265465 + ... + 265775.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 2^82607820 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 82607820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

82607820 is an abundant number, since it is smaller than the sum of its proper divisors (162699060).

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

82607820 is a wasteful number, since it uses less digits than its factorization.

82607820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 82607820 is about 9088.8844199935. The cubic root of 82607820 is about 435.5189473123.

The spelling of 82607820 in words is "eighty-two million, six hundred seven thousand, eight hundred twenty".