1064314800 has 180 divisors, whose sum is σ = 3711920160. Its totient is φ = 282401280.

The previous prime is 1064314793. The next prime is 1064314813. The reversal of 1064314800 is 84134601.

1064314800 is a `hidden beast` number, since 1 + 0 + 643 + 14 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1064314800² = 2265531986998080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 859782 + ... + 861018.

Almost surely, 2^1064314800 is an apocalyptic number.

1064314800 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 1064314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855960080).

1064314800 is an abundant number, since it is smaller than the sum of its proper divisors (2647605360).

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

1064314800 is a wasteful number, since it uses less digits than its factorization.

1064314800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1064314800 is about 32623.8379103379. The cubic root of 1064314800 is about 1020.9944165999.

The spelling of 1064314800 in words is "one billion, sixty-four million, three hundred fourteen thousand, eight hundred".