123788496 has 160 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 35223552.

The previous prime is 123788491. The next prime is 123788503. The reversal of 123788496 is 694887321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123788491) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 628270 + ... + 628466.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^123788496 is an apocalyptic number.

123788496 is a gapful number since it is divisible by the number (16) 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 123788496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

123788496 is an abundant number, since it is smaller than the sum of its proper divisors (247437744).

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

123788496 is a wasteful number, since it uses less digits than its factorization.

123788496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 123788496 is about 11126.0278626291. The cubic root of 123788496 is about 498.3794144129.

The spelling of 123788496 in words is "one hundred twenty-three million, seven hundred eighty-eight thousand, four hundred ninety-six".