1107648000 has 320 divisors, whose sum is σ = 4098219840. Its totient is φ = 294912000.

The previous prime is 1107647999. The next prime is 1107648001. The reversal of 1107648000 is 8467011.

It is a happy number.

1107648000 is a `hidden beast` number, since 1 + 10 + 7 + 648 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1107647999) and next prime (1107648001).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107648001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727680 + ... + 1728320.

It is an arithmetic number, because the mean of its divisors is an integer number (12806937).

Almost surely, 2^1107648000 is an apocalyptic number.

1107648000 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 1107648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049109920).

1107648000 is an abundant number, since it is smaller than the sum of its proper divisors (2990571840).

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

1107648000 is an frugal number, since it uses more digits than its factorization.

1107648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1107648000 is about 33281.3461266217. The cubic root of 1107648000 is about 1034.6669796057. Note that the first 3 decimals are identical.

The spelling of 1107648000 in words is "one billion, one hundred seven million, six hundred forty-eight thousand".