9640800 has 216 divisors, whose sum is σ = 36966384. Its totient is φ = 2350080.

The previous prime is 9640739. The next prime is 9640811. The reversal of 9640800 is 80469.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93549 + ... + 93651.

Almost surely, 2^9640800 is an apocalyptic number.

9640800 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 9640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18483192).

9640800 is an abundant number, since it is smaller than the sum of its proper divisors (27325584).

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

9640800 is a wasteful number, since it uses less digits than its factorization.

9640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9640800 is about 3104.9637679045. The cubic root of 9640800 is about 212.8323748960.

It can be divided in two parts, 9640 and 800, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 9640800 in words is "nine million, six hundred forty thousand, eight hundred".