1581264 has 60 divisors (see below), whose sum is σ = 4513600. Its totient is φ = 516672.

The previous prime is 1581257. The next prime is 1581271. The reversal of 1581264 is 4621851.

It is an interprime number because it is at equal distance from previous prime (1581257) and next prime (1581271).

It is a nialpdrome in base 12.

It is a zygodrome in base 11.

It is a congruent number.

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, 11307 + ... + 11445.

2^1581264 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 1581264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256800).

1581264 is an abundant number, since it is smaller than the sum of its proper divisors (2932336).

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

1581264 is a wasteful number, since it uses less digits than its factorization.

1581264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1581264 is about 1257.4832006830. The cubic root of 1581264 is about 116.5023791934.

It can be divided in two parts, 15812 and 64, that added together give a square (15876 = 126²).

The spelling of 1581264 in words is "one million, five hundred eighty-one thousand, two hundred sixty-four".