1024000 has 56 divisors (see below), whose sum is σ = 2555748. Its totient is φ = 409600.

The previous prime is 1023991. The next prime is 1024021. The reversal of 1024000 is 4201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 692224 + 331776 = 832^2 + 576^2 .

It is a hoax number, since the sum of its digits (7) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 204798 + ... + 204802.

2^1024000 is an apocalyptic number.

1024000 is a gapful number since it is divisible by the number (10) 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 1024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277874).

1024000 is an abundant number, since it is smaller than the sum of its proper divisors (1531748).

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

1024000 is an frugal number, since it uses more digits than its factorization.

1024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 1024000 is about 1011.9288512539. The cubic root of 1024000 is about 100.7936839916.

Adding to 1024000 its reverse (4201), we get a palindrome (1028201).

The spelling of 1024000 in words is "one million, twenty-four thousand".