9872814600 has 480 divisors, whose sum is σ = 39619562400. Its totient is φ = 2251929600.

The previous prime is 9872814571. The next prime is 9872814647. The reversal of 9872814600 is 64182789.

9872814600 is a `hidden beast` number, since 9 + 8 + 7 + 28 + 14 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3027771 + ... + 3031029.

It is an arithmetic number, because the mean of its divisors is an integer number (82540755).

Almost surely, 2^9872814600 is an apocalyptic number.

9872814600 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 9872814600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19809781200).

9872814600 is an abundant number, since it is smaller than the sum of its proper divisors (29746747800).

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

9872814600 is a wasteful number, since it uses less digits than its factorization.

9872814600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3297 counting only the distinct ones).

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

The square root of 9872814600 is about 99362.0380225768. The cubic root of 9872814600 is about 2145.2619368127.

The spelling of 9872814600 in words is "nine billion, eight hundred seventy-two million, eight hundred fourteen thousand, six hundred".