8956080 has 120 divisors (see below), whose sum is σ = 34393632. Its totient is φ = 2045952.

The previous prime is 8956069. The next prime is 8956097. The reversal of 8956080 is 806598.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×8956080² = 160422737932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4152 + ... + 5928.

Almost surely, 2^8956080 is an apocalyptic number.

8956080 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 8956080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196816).

8956080 is an abundant number, since it is smaller than the sum of its proper divisors (25437552).

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

8956080 is a wasteful number, since it uses less digits than its factorization.

8956080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8956080 is about 2992.6710477431. The cubic root of 8956080 is about 207.6694701068.

It can be divided in two parts, 89 and 56080, that added together give a square (56169 = 237²).

The spelling of 8956080 in words is "eight million, nine hundred fifty-six thousand, eighty".