1567264 has 48 divisors (see below), whose sum is σ = 3392928. Its totient is φ = 709632.

The previous prime is 1567261. The next prime is 1567271. The reversal of 1567264 is 4627651.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1567261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23359 + ... + 23425.

It is an arithmetic number, because the mean of its divisors is an integer number (70686).

2^1567264 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 1567264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696464).

1567264 is an abundant number, since it is smaller than the sum of its proper divisors (1825664).

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

1567264 is a wasteful number, since it uses less digits than its factorization.

1567264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 1567264 is about 1251.9041496856. The cubic root of 1567264 is about 116.1575346739.

The spelling of 1567264 in words is "one million, five hundred sixty-seven thousand, two hundred sixty-four".