1107936648 has 480 divisors, whose sum is σ = 4129234200. Its totient is φ = 265531392.

The previous prime is 1107936623. The next prime is 1107936671. The reversal of 1107936648 is 8466397011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 916999524 + 190937124 = 30282^2 + 13818^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38204698 + ... + 38204726.

Almost surely, 2^1107936648 is an apocalyptic number.

1107936648 is a gapful number since it is divisible by the number (18) 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 1107936648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064617100).

1107936648 is an abundant number, since it is smaller than the sum of its proper divisors (3021297552).

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

1107936648 is a wasteful number, since it uses less digits than its factorization.

1107936648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1107936648 is about 33285.6823273912. The cubic root of 1107936648 is about 1034.7568482931.

The spelling of 1107936648 in words is "one billion, one hundred seven million, nine hundred thirty-six thousand, six hundred forty-eight".