1032864 has 96 divisors (see below), whose sum is σ = 3265920. Its totient is φ = 279552.

The previous prime is 1032853. The next prime is 1032881. The reversal of 1032864 is 4682301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19462 + ... + 19514.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2^1032864 is an apocalyptic number.

1032864 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 1032864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632960).

1032864 is an abundant number, since it is smaller than the sum of its proper divisors (2233056).

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

1032864 is a wasteful number, since it uses less digits than its factorization.

1032864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1032864 is about 1016.2991685523. The cubic root of 1032864 is about 101.0836806089.

The spelling of 1032864 in words is "one million, thirty-two thousand, eight hundred sixty-four".