123783768 has 64 divisors (see below), whose sum is σ = 345708000. Its totient is φ = 41037696.

The previous prime is 123783731. The next prime is 123783791. The reversal of 123783768 is 867387321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41098 + ... + 44006.

Almost surely, 2^123783768 is an apocalyptic number.

123783768 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 123783768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172854000).

123783768 is an abundant number, since it is smaller than the sum of its proper divisors (221924232).

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

123783768 is a wasteful number, since it uses less digits than its factorization.

123783768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3111 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 123783768 is about 11125.8153858493. The cubic root of 123783768 is about 498.3730692679.

The spelling of 123783768 in words is "one hundred twenty-three million, seven hundred eighty-three thousand, seven hundred sixty-eight".