8475264 has 96 divisors (see below), whose sum is σ = 27899040. Its totient is φ = 2419200.

The previous prime is 8475263. The next prime is 8475277. The reversal of 8475264 is 4625748.

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 (36).

It is a d-powerful number, because it can be written as 8⁵ + 4 + 7 + 5⁵ + 2²³ + 6⁶ + 4⁶ .

It is not an unprimeable number, because it can be changed into a prime (8475263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7539 + ... + 8589.

It is an arithmetic number, because the mean of its divisors is an integer number (290615).

Almost surely, 2^8475264 is an apocalyptic number.

8475264 is a gapful number since it is divisible by the number (84) 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 8475264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13949520).

8475264 is an abundant number, since it is smaller than the sum of its proper divisors (19423776).

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

8475264 is a wasteful number, since it uses less digits than its factorization.

8475264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1063 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 8475264 is about 2911.2306676043. The cubic root of 8475264 is about 203.8845944721.

The spelling of 8475264 in words is "eight million, four hundred seventy-five thousand, two hundred sixty-four".