1563264 has 96 divisors (see below), whose sum is σ = 4773600. Its totient is φ = 489984.

The previous prime is 1563259. The next prime is 1563271. The reversal of 1563264 is 4623651.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26467 + ... + 26525.

It is an arithmetic number, because the mean of its divisors is an integer number (49725).

2^1563264 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 1563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386800).

1563264 is an abundant number, since it is smaller than the sum of its proper divisors (3210336).

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

1563264 is a wasteful number, since it uses less digits than its factorization.

1563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1563264 is about 1250.3055626526. The cubic root of 1563264 is about 116.0586306859.

The spelling of 1563264 in words is "one million, five hundred sixty-three thousand, two hundred sixty-four".