1064000 has 112 divisors (see below), whose sum is σ = 3169920. Its totient is φ = 345600.

The previous prime is 1063999. The next prime is 1064017. The reversal of 1064000 is 4601.

1064000 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1064000² = 2264192000000, which contains 22 as substring.

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, 55991 + ... + 56009.

2^1064000 is an apocalyptic number.

1064000 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 1064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584960).

1064000 is an abundant number, since it is smaller than the sum of its proper divisors (2105920).

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

1064000 is an equidigital number, since it uses as much as digits as its factorization.

1064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1064000 is about 1031.5037566582. The cubic root of 1064000 is about 102.0893744400.

Adding to 1064000 its reverse (4601), we get a palindrome (1068601).

It can be divided in two parts, 10 and 64000, that multiplied together give a square (640000 = 800²).

The spelling of 1064000 in words is "one million, sixty-four thousand".