9975420 has 288 divisors, whose sum is σ = 40219200. Its totient is φ = 2032128.

The previous prime is 9975403. The next prime is 9975431. The reversal of 9975420 is 245799.

9975420 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 Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343966 + ... + 343994.

It is an arithmetic number, because the mean of its divisors is an integer number (139650).

Almost surely, 2^9975420 is an apocalyptic number.

9975420 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 9975420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109600).

9975420 is an abundant number, since it is smaller than the sum of its proper divisors (30243780).

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

9975420 is a wasteful number, since it uses less digits than its factorization.

9975420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 59 counting only the distinct ones).

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

The square root of 9975420 is about 3158.3888297675. The cubic root of 9975420 is about 215.2668041610.

The spelling of 9975420 in words is "nine million, nine hundred seventy-five thousand, four hundred twenty".