8162880 has 112 divisors (see below), whose sum is σ = 28309824. Its totient is φ = 1976320.

The previous prime is 8162863. The next prime is 8162887. The reversal of 8162880 is 882618.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8162887) 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, 10174 + ... + 10946.

Almost surely, 2^8162880 is an apocalyptic number.

8162880 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 8162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154912).

8162880 is an abundant number, since it is smaller than the sum of its proper divisors (20146944).

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

8162880 is a wasteful number, since it uses less digits than its factorization.

8162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 8162880 is about 2857.0754277758. The cubic root of 8162880 is about 201.3482243663.

Subtracting from 8162880 its product of nonzero digits (6144), we obtain a square (8156736 = 2856²).

The spelling of 8162880 in words is "eight million, one hundred sixty-two thousand, eight hundred eighty".