82558380 has 48 divisors (see below), whose sum is σ = 232485120. Its totient is φ = 21889728.

The previous prime is 82558369. The next prime is 82558381. The reversal of 82558380 is 8385528.

It is a super-2 number, since 2×82558380² = 13631772216448800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82558381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6897 + ... + 14583.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2^82558380 is an apocalyptic number.

It is an amenable number.

82558380 is an abundant number, since it is smaller than the sum of its proper divisors (149926740).

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

82558380 is a wasteful number, since it uses less digits than its factorization.

82558380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 82558380 is about 9086.1642071889. The cubic root of 82558380 is about 435.4320453146.

The spelling of 82558380 in words is "eighty-two million, five hundred fifty-eight thousand, three hundred eighty".