9613800 has 216 divisors, whose sum is σ = 37902150. Its totient is φ = 2177280.

The previous prime is 9613787. The next prime is 9613817. The reversal of 9613800 is 83169.

It can be written as a sum of positive squares in 3 ways, for example, as 7918596 + 1695204 = 2814^2 + 1302^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 88146 + ... + 88254.

Almost surely, 2^9613800 is an apocalyptic number.

9613800 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 9613800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18951075).

9613800 is an abundant number, since it is smaller than the sum of its proper divisors (28288350).

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

9613800 is a wasteful number, since it uses less digits than its factorization.

9613800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9613800 is about 3100.6128426490. The cubic root of 9613800 is about 212.6335031909.

Adding to 9613800 its reverse (83169), we get a palindrome (9696969).

It can be divided in two parts, 961 and 3800, that added together give a square (4761 = 69²).

The spelling of 9613800 in words is "nine million, six hundred thirteen thousand, eight hundred".