9923760 has 240 divisors, whose sum is σ = 41783040. Its totient is φ = 2050560.

The previous prime is 9923747. The next prime is 9923783. The reversal of 9923760 is 673299.

9923760 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55351 + ... + 55529.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 2^9923760 is an apocalyptic number.

9923760 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 9923760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

9923760 is an abundant number, since it is smaller than the sum of its proper divisors (31859280).

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

9923760 is a wasteful number, since it uses less digits than its factorization.

9923760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9923760 is about 3150.1999936512. The cubic root of 9923760 is about 214.8945579957.

The spelling of 9923760 in words is "nine million, nine hundred twenty-three thousand, seven hundred sixty".