9872812620 has 144 divisors (see below), whose sum is σ = 32994168480. Its totient is φ = 2369664000.

The previous prime is 9872812603. The next prime is 9872812627. The reversal of 9872812620 is 262182789.

9872812620 is a `hidden beast` number, since 9 + 8 + 7 + 2 + 8 + 12 + 620 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9872812627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175296 + ... + 224664.

It is an arithmetic number, because the mean of its divisors is an integer number (229126170).

Almost surely, 2^9872812620 is an apocalyptic number.

9872812620 is a gapful number since it is divisible by the number (90) 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 9872812620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497084240).

9872812620 is an abundant number, since it is smaller than the sum of its proper divisors (23121355860).

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

9872812620 is a wasteful number, since it uses less digits than its factorization.

9872812620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49496 (or 49491 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 9872812620 is about 99362.0280590126. The cubic root of 9872812620 is about 2145.2617934014.

The spelling of 9872812620 in words is "nine billion, eight hundred seventy-two million, eight hundred twelve thousand, six hundred twenty".