123368784 has 160 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 30912000.

The previous prime is 123368761. The next prime is 123368797. The reversal of 123368784 is 487863321.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106609 + ... + 107759.

It is an arithmetic number, because the mean of its divisors is an integer number (2571264).

Almost surely, 2^123368784 is an apocalyptic number.

123368784 is a gapful number since it is divisible by the number (14) 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 123368784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

123368784 is an abundant number, since it is smaller than the sum of its proper divisors (288033456).

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

123368784 is a wasteful number, since it uses less digits than its factorization.

123368784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1203 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 123368784 is about 11107.1501295337. The cubic root of 123368784 is about 497.8155152855.

The spelling of 123368784 in words is "one hundred twenty-three million, three hundred sixty-eight thousand, seven hundred eighty-four".