1064800 has 72 divisors (see below), whose sum is σ = 2859192. Its totient is φ = 387200.

The previous prime is 1064783. The next prime is 1064801. The reversal of 1064800 is 84601.

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 is a super-2 number, since 2×1064800² = 2267598080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96795 + ... + 96805.

It is an arithmetic number, because the mean of its divisors is an integer number (39711).

2^1064800 is an apocalyptic number.

1064800 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 1064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429596).

1064800 is an abundant number, since it is smaller than the sum of its proper divisors (1794392).

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

1064800 is an equidigital number, since it uses as much as digits as its factorization.

1064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1064800 is about 1031.8914671612. The cubic root of 1064800 is about 102.1149543395.

The spelling of 1064800 in words is "one million, sixty-four thousand, eight hundred".