8405264 has 60 divisors (see below), whose sum is σ = 19338048. Its totient is φ = 3528000.

The previous prime is 8405263. The next prime is 8405269. The reversal of 8405264 is 4625048.

It is not an unprimeable number, because it can be changed into a prime (8405261) 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, 55589 + ... + 55739.

Almost surely, 2^8405264 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 8405264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669024).

8405264 is an abundant number, since it is smaller than the sum of its proper divisors (10932784).

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

8405264 is a wasteful number, since it uses less digits than its factorization.

8405264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 8405264 is about 2899.1833332854. The cubic root of 8405264 is about 203.3217252772.

The spelling of 8405264 in words is "eight million, four hundred five thousand, two hundred sixty-four".