1052864800 has 144 divisors (see below), whose sum is σ = 2811195072. Its totient is φ = 382694400.

The previous prime is 1052864777. The next prime is 1052864809. The reversal of 1052864800 is 84682501.

It is a super-2 number, since 2×1052864800² = 2217048574158080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052864809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696045 + ... + 697555.

It is an arithmetic number, because the mean of its divisors is an integer number (19522188).

Almost surely, 2^1052864800 is an apocalyptic number.

1052864800 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 1052864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405597536).

1052864800 is an abundant number, since it is smaller than the sum of its proper divisors (1758330272).

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

1052864800 is a wasteful number, since it uses less digits than its factorization.

1052864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 1052864800 is about 32447.8782048996. The cubic root of 1052864800 is about 1017.3198895604.

The spelling of 1052864800 in words is "one billion, fifty-two million, eight hundred sixty-four thousand, eight hundred".