1020864 has 56 divisors (see below), whose sum is σ = 2915920. Its totient is φ = 313344.

The previous prime is 1020853. The next prime is 1020881. The reversal of 1020864 is 4680201.

1020864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1020864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2292 + ... + 2700.

It is an arithmetic number, because the mean of its divisors is an integer number (52070).

2^1020864 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 1020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457960).

1020864 is an abundant number, since it is smaller than the sum of its proper divisors (1895056).

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

1020864 is a wasteful number, since it uses less digits than its factorization.

1020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1020864 is about 1010.3781470321. The cubic root of 1020864 is about 100.6906852229.

The spelling of 1020864 in words is "one million, twenty thousand, eight hundred sixty-four".