1087265200 has 120 divisors (see below), whose sum is σ = 3115300608. Its totient is φ = 356547840.

The previous prime is 1087265189. The next prime is 1087265203. The reversal of 1087265200 is 25627801.

It is not an unprimeable number, because it can be changed into a prime (1087265203) 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, 55959 + ... + 72841.

Almost surely, 2^1087265200 is an apocalyptic number.

1087265200 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 1087265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557650304).

1087265200 is an abundant number, since it is smaller than the sum of its proper divisors (2028035408).

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

1087265200 is a wasteful number, since it uses less digits than its factorization.

1087265200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16931 (or 16920 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 1087265200 is about 32973.7046750892. The cubic root of 1087265200 is about 1028.2810427322.

The spelling of 1087265200 in words is "one billion, eighty-seven million, two hundred sixty-five thousand, two hundred".