82020888 has 48 divisors (see below), whose sum is σ = 224359200. Its totient is φ = 27067200.

The previous prime is 82020877. The next prime is 82020919. The reversal of 82020888 is 88802028.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1633 + ... + 12911.

It is an arithmetic number, because the mean of its divisors is an integer number (4674150).

Almost surely, 2^82020888 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 82020888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112179600).

82020888 is an abundant number, since it is smaller than the sum of its proper divisors (142338312).

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

82020888 is a wasteful number, since it uses less digits than its factorization.

82020888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11392 (or 11385 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 82020888 is about 9056.5384115566. The cubic root of 82020888 is about 434.4850346846.

The spelling of 82020888 in words is "eighty-two million, twenty thousand, eight hundred eighty-eight".