123783660 has 384 divisors, whose sum is σ = 519321600. Its totient is φ = 23639040.

The previous prime is 123783637. The next prime is 123783707. The reversal of 123783660 is 66387321.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 540426 + ... + 540654.

It is an arithmetic number, because the mean of its divisors is an integer number (1352400).

Almost surely, 2^123783660 is an apocalyptic number.

123783660 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 123783660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259660800).

123783660 is an abundant number, since it is smaller than the sum of its proper divisors (395537940).

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

123783660 is a wasteful number, since it uses less digits than its factorization.

123783660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 123783660 is about 11125.8105322713. The cubic root of 123783660 is about 498.3729243261.

The spelling of 123783660 in words is "one hundred twenty-three million, seven hundred eighty-three thousand, six hundred sixty".