1087885200 has 120 divisors (see below), whose sum is σ = 3497394208. Its totient is φ = 289059840.

The previous prime is 1087885193. The next prime is 1087885213. The reversal of 1087885200 is 25887801.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366924 + ... + 369876.

Almost surely, 2^1087885200 is an apocalyptic number.

1087885200 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 1087885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748697104).

1087885200 is an abundant number, since it is smaller than the sum of its proper divisors (2409509008).

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

1087885200 is a wasteful number, since it uses less digits than its factorization.

1087885200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 1087885200 is about 32983.1047659252. The cubic root of 1087885200 is about 1028.4764605881.

The spelling of 1087885200 in words is "one billion, eighty-seven million, eight hundred eighty-five thousand, two hundred".