561264 has 40 divisors (see below), whose sum is σ = 1583232. Its totient is φ = 169920.

The previous prime is 561251. The next prime is 561277. The reversal of 561264 is 462165.

It is an interprime number because it is at equal distance from previous prime (561251) and next prime (561277).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 1059.

2⁵⁶¹²⁶⁴ 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 561264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791616).

561264 is an abundant number, since it is smaller than the sum of its proper divisors (1021968).

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

561264 is a wasteful number, since it uses less digits than its factorization.

561264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1079 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 561264 is about 749.1755468513. The cubic root of 561264 is about 82.4876749265.

Subtracting from 561264 its reverse (462165), we obtain a palindrome (99099).

The spelling of 561264 in words is "five hundred sixty-one thousand, two hundred sixty-four".