1095876864 has 180 divisors, whose sum is σ = 3350003580. Its totient is φ = 356106240.

The previous prime is 1095876833. The next prime is 1095876869. The reversal of 1095876864 is 4686785901.

It can be written as a sum of positive squares in 2 ways, for example, as 424030464 + 671846400 = 20592^2 + 25920^2 .

It is a super-2 number, since 2×1095876864² = 2401892202100948992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1095876864.

It is not an unprimeable number, because it can be changed into a prime (1095876869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 849532 + ... + 850820.

It is an arithmetic number, because the mean of its divisors is an integer number (18611131).

Almost surely, 2^1095876864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1095876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675001790).

1095876864 is an abundant number, since it is smaller than the sum of its proper divisors (2254126716).

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

1095876864 is an equidigital number, since it uses as much as digits as its factorization.

1095876864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1095876864 is about 33104.0309328033. The cubic root of 1095876864 is about 1030.9887335495.

The spelling of 1095876864 in words is "one billion, ninety-five million, eight hundred seventy-six thousand, eight hundred sixty-four".