9923420160 has 336 divisors, whose sum is σ = 35708911056. Its totient is φ = 2643591168.

The previous prime is 9923420119. The next prime is 9923420161. The reversal of 9923420160 is 610243299.

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 (9923420161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9952782 + ... + 9953778.

It is an arithmetic number, because the mean of its divisors is an integer number (106276521).

Almost surely, 2^9923420160 is an apocalyptic number.

9923420160 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 9923420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17854455528).

9923420160 is an abundant number, since it is smaller than the sum of its proper divisors (25785490896).

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

9923420160 is an frugal number, since it uses more digits than its factorization.

9923420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1007 counting only the distinct ones).

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

The square root of 9923420160 is about 99616.3649206294. The cubic root of 9923420160 is about 2148.9210494025.

The spelling of 9923420160 in words is "nine billion, nine hundred twenty-three million, four hundred twenty thousand, one hundred sixty".