1095761920 has 168 divisors, whose sum is σ = 3019897440. Its totient is φ = 377487360.

The previous prime is 1095761813. The next prime is 1095761921. The reversal of 1095761920 is 291675901.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1095761921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57671671 + ... + 57671689.

It is an arithmetic number, because the mean of its divisors is an integer number (17975580).

Almost surely, 2^1095761920 is an apocalyptic number.

1095761920 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 1095761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509948720).

1095761920 is an abundant number, since it is smaller than the sum of its proper divisors (1924135520).

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

1095761920 is an frugal number, since it uses more digits than its factorization.

1095761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The square root of 1095761920 is about 33102.2947845010. The cubic root of 1095761920 is about 1030.9526862780.

The spelling of 1095761920 in words is "one billion, ninety-five million, seven hundred sixty-one thousand, nine hundred twenty".