1012864 has 32 divisors (see below), whose sum is σ = 2077740. Its totient is φ = 491520.

The previous prime is 1012861. The next prime is 1012903. The reversal of 1012864 is 4682101.

It can be written as a sum of positive squares in 2 ways, for example, as 846400 + 166464 = 920^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1012861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5152 + ... + 5344.

2^1012864 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 1012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038870).

1012864 is an abundant number, since it is smaller than the sum of its proper divisors (1064876).

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

1012864 is an equidigital number, since it uses as much as digits as its factorization.

1012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1012864 is about 1006.4114466758. The cubic root of 1012864 is about 100.4269743345.

Adding to 1012864 its reverse (4682101), we get a palindrome (5694965).

The spelling of 1012864 in words is "one million, twelve thousand, eight hundred sixty-four".