1023264 has 144 divisors (see below), whose sum is σ = 3538080. Its totient is φ = 276480.

The previous prime is 1023263. The next prime is 1023277. The reversal of 1023264 is 4623201.

It is a happy number.

1023264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1023263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53847 + ... + 53865.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2^1023264 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 1023264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040).

1023264 is an abundant number, since it is smaller than the sum of its proper divisors (2514816).

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

1023264 is a wasteful number, since it uses less digits than its factorization.

1023264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1023264 is about 1011.5651239540. The cubic root of 1023264 is about 100.7695297169.

1023264 divided by its product of nonzero digits (288) gives a palindrome (3553).

Adding to 1023264 its reverse (4623201), we get a palindrome (5646465).

It can be divided in two parts, 10232 and 64, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 1023264 in words is "one million, twenty-three thousand, two hundred sixty-four".