8901120 has 160 divisors (see below), whose sum is σ = 30444480. Its totient is φ = 2211840.

The previous prime is 8901119. The next prime is 8901121. The reversal of 8901120 is 211098.

It is an interprime number because it is at equal distance from previous prime (8901119) and next prime (8901121).

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (8901121) 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, 145890 + ... + 145950.

It is an arithmetic number, because the mean of its divisors is an integer number (190278).

Almost surely, 2^8901120 is an apocalyptic number.

8901120 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 8901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222240).

8901120 is an abundant number, since it is smaller than the sum of its proper divisors (21543360).

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

8901120 is a wasteful number, since it uses less digits than its factorization.

8901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 8901120 is about 2983.4744845566. The cubic root of 8901120 is about 207.2438024497.

The spelling of 8901120 in words is "eight million, nine hundred one thousand, one hundred twenty".