9842061600 has 864 divisors, whose sum is σ = 43922813760. Its totient is φ = 2113413120.

The previous prime is 9842061599. The next prime is 9842061601. The reversal of 9842061600 is 61602489.

9842061600 is a `hidden beast` number, since 9 + 8 + 42 + 0 + 6 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (9842061599) and next prime (9842061601).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9842061601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17992527 + ... + 17993073.

It is an arithmetic number, because the mean of its divisors is an integer number (50836590).

Almost surely, 2^9842061600 is an apocalyptic number.

9842061600 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 9842061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21961406880).

9842061600 is an abundant number, since it is smaller than the sum of its proper divisors (34080752160).

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

9842061600 is a wasteful number, since it uses less digits than its factorization.

9842061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9842061600 is about 99207.1650638199. The cubic root of 9842061600 is about 2143.0321822729.

The spelling of 9842061600 in words is "nine billion, eight hundred forty-two million, sixty-one thousand, six hundred".