8264160 has 96 divisors (see below), whose sum is σ = 28939680. Its totient is φ = 2202624.

The previous prime is 8264147. The next prime is 8264167. The reversal of 8264160 is 614628.

8264160 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8264167) 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, 3364 + ... + 5276.

It is an arithmetic number, because the mean of its divisors is an integer number (301455).

Almost surely, 2^8264160 is an apocalyptic number.

8264160 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 8264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14469840).

8264160 is an abundant number, since it is smaller than the sum of its proper divisors (20675520).

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

8264160 is a wasteful number, since it uses less digits than its factorization.

8264160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8264160 is about 2874.7452061009. The cubic root of 8264160 is about 202.1775389116.

Adding to 8264160 its reverse (614628), we get a palindrome (8878788).

The spelling of 8264160 in words is "eight million, two hundred sixty-four thousand, one hundred sixty".