9745920 has 200 divisors, whose sum is σ = 35649504. Its totient is φ = 2543616.

The previous prime is 9745891. The next prime is 9745949. The reversal of 9745920 is 295479.

It is an interprime number because it is at equal distance from previous prime (9745891) and next prime (9745949).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207337 + ... + 207383.

Almost surely, 2^9745920 is an apocalyptic number.

9745920 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 9745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824752).

9745920 is an abundant number, since it is smaller than the sum of its proper divisors (25903584).

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

9745920 is an equidigital number, since it uses as much as digits as its factorization.

9745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 9745920 is about 3121.8456079697. The cubic root of 9745920 is about 213.6031308719.

It can be divided in two parts, 97459 and 20, that added together give a palindrome (97479).

The spelling of 9745920 in words is "nine million, seven hundred forty-five thousand, nine hundred twenty".