1064965200 has 240 divisors, whose sum is σ = 3868294080. Its totient is φ = 248279040.

The previous prime is 1064965193. The next prime is 1064965211. The reversal of 1064965200 is 25694601.

1064965200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1064965200² = 2268301754422080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294604 + ... + 298196.

It is an arithmetic number, because the mean of its divisors is an integer number (16117892).

Almost surely, 2^1064965200 is an apocalyptic number.

1064965200 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 1064965200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934147040).

1064965200 is an abundant number, since it is smaller than the sum of its proper divisors (2803328880).

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

1064965200 is a wasteful number, since it uses less digits than its factorization.

1064965200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1064965200 is about 32633.8045590765. The cubic root of 1064965200 is about 1021.2023499254.

The spelling of 1064965200 in words is "one billion, sixty-four million, nine hundred sixty-five thousand, two hundred".