658256820 has 96 divisors (see below), whose sum is σ = 2022475392. Its totient is φ = 158965248.

The previous prime is 658256773. The next prime is 658256827. The reversal of 658256820 is 28652856.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (658256827) 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, 33379 + ... + 49301.

It is an arithmetic number, because the mean of its divisors is an integer number (21067452).

Almost surely, 2^658256820 is an apocalyptic number.

658256820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 658256820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011237696).

658256820 is an abundant number, since it is smaller than the sum of its proper divisors (1364218572).

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

658256820 is a wasteful number, since it uses less digits than its factorization.

658256820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16001 (or 15999 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 658256820 is about 25656.5161313846. The cubic root of 658256820 is about 869.8915705798.

The spelling of 658256820 in words is "six hundred fifty-eight million, two hundred fifty-six thousand, eight hundred twenty".