1095600 has 120 divisors (see below), whose sum is σ = 3874752. Its totient is φ = 262400.

The previous prime is 1095583. The next prime is 1095613. The reversal of 1095600 is 65901.

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

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, 13159 + ... + 13241.

2^1095600 is an apocalyptic number.

1095600 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 1095600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937376).

1095600 is an abundant number, since it is smaller than the sum of its proper divisors (2779152).

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

1095600 is a wasteful number, since it uses less digits than its factorization.

1095600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1095600 is about 1046.7091286504. The cubic root of 1095600 is about 103.0901902715.

The spelling of 1095600 in words is "one million, ninety-five thousand, six hundred".