1064315800 has 96 divisors (see below), whose sum is σ = 2625144480. Its totient is φ = 400435200.

The previous prime is 1064315741. The next prime is 1064315801. The reversal of 1064315800 is 85134601.

It is a super-2 number, since 2×1064315800² = 2265536244259280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064315801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278704 + ... + 282496.

It is an arithmetic number, because the mean of its divisors is an integer number (27345255).

Almost surely, 2^1064315800 is an apocalyptic number.

1064315800 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 1064315800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312572240).

1064315800 is an abundant number, since it is smaller than the sum of its proper divisors (1560828680).

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

1064315800 is a wasteful number, since it uses less digits than its factorization.

1064315800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1064315800 is about 32623.8532365507. The cubic root of 1064315800 is about 1020.9947363656.

The spelling of 1064315800 in words is "one billion, sixty-four million, three hundred fifteen thousand, eight hundred".