1065864800 has 360 divisors, whose sum is σ = 3522743280. Its totient is φ = 306662400.

The previous prime is 1065864799. The next prime is 1065864803. The reversal of 1065864800 is 84685601.

It is a super-2 number, since 2×1065864800² = 2272135543758080000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065864803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 81989594 + ... + 81989606.

It is an arithmetic number, because the mean of its divisors is an integer number (9785398).

Almost surely, 2^1065864800 is an apocalyptic number.

1065864800 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 1065864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761371640).

1065864800 is an abundant number, since it is smaller than the sum of its proper divisors (2456878480).

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

1065864800 is an equidigital number, since it uses as much as digits as its factorization.

1065864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 1065864800 is about 32647.5849030215. The cubic root of 1065864800 is about 1021.4898131779.

It can be divided in two parts, 10658 and 64800, that multiplied together give a square (690638400 = 26280²).

The spelling of 1065864800 in words is "one billion, sixty-five million, eight hundred sixty-four thousand, eight hundred".