1230108768 has 288 divisors, whose sum is σ = 4285532160. Its totient is φ = 340122240.

The previous prime is 1230108757. The next prime is 1230108791. The reversal of 1230108768 is 8678010321.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1230108768² = 3026335162220955648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39680913 + ... + 39680943.

It is an arithmetic number, because the mean of its divisors is an integer number (14880320).

Almost surely, 2^1230108768 is an apocalyptic number.

1230108768 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 1230108768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142766080).

1230108768 is an abundant number, since it is smaller than the sum of its proper divisors (3055423392).

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

1230108768 is an frugal number, since it uses more digits than its factorization.

1230108768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1230108768 is about 35072.9064663880. The cubic root of 1230108768 is about 1071.4728510157.

The spelling of 1230108768 in words is "one billion, two hundred thirty million, one hundred eight thousand, seven hundred sixty-eight".