63258120 has 96 divisors (see below), whose sum is σ = 206856000. Its totient is φ = 16765056.

The previous prime is 63258113. The next prime is 63258127. The reversal of 63258120 is 2185236.

63258120 is a `hidden beast` number, since 63 + 2 + 581 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (63258113) and next prime (63258127).

It is not an unprimeable number, because it can be changed into a prime (63258127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71199 + ... + 72081.

It is an arithmetic number, because the mean of its divisors is an integer number (2154750).

Almost surely, 2^63258120 is an apocalyptic number.

63258120 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 63258120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103428000).

63258120 is an abundant number, since it is smaller than the sum of its proper divisors (143597880).

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

63258120 is a wasteful number, since it uses less digits than its factorization.

63258120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 63258120 is about 7953.4973439362. The cubic root of 63258120 is about 398.4484058376.

The spelling of 63258120 in words is "sixty-three million, two hundred fifty-eight thousand, one hundred twenty".