586142820 has 72 divisors (see below), whose sum is σ = 1783926144. Its totient is φ = 155780928.

The previous prime is 586142801. The next prime is 586142849. The reversal of 586142820 is 28241685.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49957 + ... + 60563.

It is an arithmetic number, because the mean of its divisors is an integer number (24776752).

Almost surely, 2^586142820 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 586142820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891963072).

586142820 is an abundant number, since it is smaller than the sum of its proper divisors (1197783324).

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

586142820 is a wasteful number, since it uses less digits than its factorization.

586142820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10929 (or 10924 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 586142820 is about 24210.3866140134. The cubic root of 586142820 is about 836.8889169694. Note that the first 3 decimals are identical.

The spelling of 586142820 in words is "five hundred eighty-six million, one hundred forty-two thousand, eight hundred twenty".