9951120 has 160 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 2488320.

The previous prime is 9951101. The next prime is 9951127. The reversal of 9951120 is 211599.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9951127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36585 + ... + 36855.

It is an arithmetic number, because the mean of its divisors is an integer number (227664).

Almost surely, 2^9951120 is an apocalyptic number.

9951120 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 9951120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

9951120 is an abundant number, since it is smaller than the sum of its proper divisors (26475120).

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

9951120 is a wasteful number, since it uses less digits than its factorization.

9951120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 9951120 is about 3154.5395860569. The cubic root of 9951120 is about 215.0918662759.

The spelling of 9951120 in words is "nine million, nine hundred fifty-one thousand, one hundred twenty".