8945160 has 128 divisors (see below), whose sum is σ = 32071680. Its totient is φ = 1951488.

The previous prime is 8945149. The next prime is 8945171. The reversal of 8945160 is 615498.

It is an interprime number because it is at equal distance from previous prime (8945149) and next prime (8945171).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19089 + ... + 19551.

It is an arithmetic number, because the mean of its divisors is an integer number (250560).

Almost surely, 2^8945160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8945160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035840).

8945160 is an abundant number, since it is smaller than the sum of its proper divisors (23126520).

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

8945160 is a wasteful number, since it uses less digits than its factorization.

8945160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 8945160 is about 2990.8460341515. The cubic root of 8945160 is about 207.5850331316.

The spelling of 8945160 in words is "eight million, nine hundred forty-five thousand, one hundred sixty".