1072864 has 24 divisors (see below), whose sum is σ = 2275560. Its totient is φ = 494976.

The previous prime is 1072859. The next prime is 1072867. The reversal of 1072864 is 4682701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072867) 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, 874 + ... + 1705.

It is an arithmetic number, because the mean of its divisors is an integer number (94815).

2^1072864 is an apocalyptic number.

It is an amenable number.

1072864 is an abundant number, since it is smaller than the sum of its proper divisors (1202696).

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

1072864 is a wasteful number, since it uses less digits than its factorization.

1072864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1072864 is about 1035.7914848076. The cubic root of 1072864 is about 102.3720871186.

It can be divided in two parts, 1072 and 864, that added together give a square (1936 = 44²).

The spelling of 1072864 in words is "one million, seventy-two thousand, eight hundred sixty-four".