82584420 has 24 divisors (see below), whose sum is σ = 231236544. Its totient is φ = 22022496.

The previous prime is 82584413. The next prime is 82584433. The reversal of 82584420 is 2448528.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688144 + ... + 688263.

It is an arithmetic number, because the mean of its divisors is an integer number (9634856).

Almost surely, 2^82584420 is an apocalyptic number.

It is an amenable number.

82584420 is an abundant number, since it is smaller than the sum of its proper divisors (148652124).

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

82584420 is a wasteful number, since it uses less digits than its factorization.

82584420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376419 (or 1376417 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 82584420 is about 9087.5970421229. The cubic root of 82584420 is about 435.4778208355.

The spelling of 82584420 in words is "eighty-two million, five hundred eighty-four thousand, four hundred twenty".