1012564 has 36 divisors (see below), whose sum is σ = 2146144. Its totient is φ = 409248.

The previous prime is 1012559. The next prime is 1012573. The reversal of 1012564 is 4652101.

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, 23527 + ... + 23569.

2^1012564 is an apocalyptic number.

1012564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073072).

1012564 is an abundant number, since it is smaller than the sum of its proper divisors (1133580).

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

1012564 is a wasteful number, since it uses less digits than its factorization.

1012564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1012564 is about 1006.2623912281. The cubic root of 1012564 is about 100.4170582065.

Adding to 1012564 its reverse (4652101), we get a palindrome (5664665).

The spelling of 1012564 in words is "one million, twelve thousand, five hundred sixty-four".