9603138600 has 384 divisors, whose sum is σ = 36278928000. Its totient is φ = 2315520000.

The previous prime is 9603138547. The next prime is 9603138607. The reversal of 9603138600 is 68313069.

It is a happy number.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (9603138607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15978300 + ... + 15978900.

It is an arithmetic number, because the mean of its divisors is an integer number (94476375).

Almost surely, 2^9603138600 is an apocalyptic number.

9603138600 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 9603138600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139464000).

9603138600 is an abundant number, since it is smaller than the sum of its proper divisors (26675789400).

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

9603138600 is a wasteful number, since it uses less digits than its factorization.

9603138600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9603138600 is about 97995.6050034898. The cubic root of 9603138600 is about 2125.5487284192.

The spelling of 9603138600 in words is "nine billion, six hundred three million, one hundred thirty-eight thousand, six hundred".