1087200 has 108 divisors (see below), whose sum is σ = 3859128. Its totient is φ = 288000.

The previous prime is 1087159. The next prime is 1087231. The reversal of 1087200 is 27801.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7125 + ... + 7275.

2^1087200 is an apocalyptic number.

1087200 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 1087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929564).

1087200 is an abundant number, since it is smaller than the sum of its proper divisors (2771928).

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

1087200 is a wasteful number, since it uses less digits than its factorization.

1087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1087200 is about 1042.6888318190. The cubic root of 1087200 is about 102.8260488022.

The spelling of 1087200 in words is "one million, eighty-seven thousand, two hundred".