8951120 has 40 divisors (see below), whose sum is σ = 21326760. Its totient is φ = 3491840.

The previous prime is 8951119. The next prime is 8951123. The reversal of 8951120 is 211598.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 976144 + 7974976 = 988^2 + 2824^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 8951120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8951123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1916 + ... + 4644.

It is an arithmetic number, because the mean of its divisors is an integer number (533169).

Almost surely, 2^8951120 is an apocalyptic number.

8951120 is a gapful number since it is divisible by the number (80) 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 8951120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663380).

8951120 is an abundant number, since it is smaller than the sum of its proper divisors (12375640).

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

8951120 is a wasteful number, since it uses less digits than its factorization.

8951120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 8951120 is about 2991.8422418303. The cubic root of 8951120 is about 207.6311262934.

The spelling of 8951120 in words is "eight million, nine hundred fifty-one thousand, one hundred twenty".