8919120 has 80 divisors (see below), whose sum is σ = 31605120. Its totient is φ = 2038272.

The previous prime is 8919077. The next prime is 8919121. The reversal of 8919120 is 219198.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8919121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975 + ... + 4334.

It is an arithmetic number, because the mean of its divisors is an integer number (395064).

Almost surely, 2^8919120 is an apocalyptic number.

8919120 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 8919120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15802560).

8919120 is an abundant number, since it is smaller than the sum of its proper divisors (22686000).

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

8919120 is a wasteful number, since it uses less digits than its factorization.

8919120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5332 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 8919120 is about 2986.4895780833. The cubic root of 8919120 is about 207.3834057323.

It can be divided in two parts, 891 and 9120, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 8919120 in words is "eight million, nine hundred nineteen thousand, one hundred twenty".