1095920 has 80 divisors (see below), whose sum is σ = 3095040. Its totient is φ = 352512.

The previous prime is 1095907. The next prime is 1095931. The reversal of 1095920 is 295901.

1095920 = T₅₆ + T₅₇ + ... + T₁₈₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1095920³ = 3948733395608064000, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1095920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10589 + ... + 10691.

It is an arithmetic number, because the mean of its divisors is an integer number (38688).

2^1095920 is an apocalyptic number.

1095920 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 1095920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547520).

1095920 is an abundant number, since it is smaller than the sum of its proper divisors (1999120).

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

1095920 is a wasteful number, since it uses less digits than its factorization.

1095920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 1095920 is about 1046.8619775309. The cubic root of 1095920 is about 103.1002260661.

The spelling of 1095920 in words is "one million, ninety-five thousand, nine hundred twenty".