123088896 has 260 divisors, whose sum is σ = 428159952. Its totient is φ = 34504704.

The previous prime is 123088807. The next prime is 123088907. The reversal of 123088896 is 698880321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322406 + ... + 2322458.

Almost surely, 2^123088896 is an apocalyptic number.

123088896 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 123088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214079976).

123088896 is an abundant number, since it is smaller than the sum of its proper divisors (305071056).

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

123088896 is an frugal number, since it uses more digits than its factorization.

123088896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 123088896 is about 11094.5435237327. The cubic root of 123088896 is about 497.4387638744.

The spelling of 123088896 in words is "one hundred twenty-three million, eighty-eight thousand, eight hundred ninety-six".