1085251200 has 384 divisors, whose sum is σ = 4006886400. Its totient is φ = 255897600.

The previous prime is 1085251199. The next prime is 1085251247. The reversal of 1085251200 is 21525801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4540681 + ... + 4540919.

It is an arithmetic number, because the mean of its divisors is an integer number (10434600).

Almost surely, 2^1085251200 is an apocalyptic number.

1085251200 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 1085251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003443200).

1085251200 is an abundant number, since it is smaller than the sum of its proper divisors (2921635200).

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

1085251200 is a wasteful number, since it uses less digits than its factorization.

1085251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 1085251200 is about 32943.1510332573. The cubic root of 1085251200 is about 1027.6457368125.

The spelling of 1085251200 in words is "one billion, eighty-five million, two hundred fifty-one thousand, two hundred".