123436896 has 96 divisors (see below), whose sum is σ = 362226816. Its totient is φ = 36480000.

The previous prime is 123436877. The next prime is 123436903. The reversal of 123436896 is 698634321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×123436896² = 30473334588229632, which contains 22 as substring.

Its product of digits (186624) is a multiple of the sum of its prime factors (2916).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41871 + ... + 44721.

It is an arithmetic number, because the mean of its divisors is an integer number (3773196).

Almost surely, 2^123436896 is an apocalyptic number.

123436896 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 123436896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181113408).

123436896 is an abundant number, since it is smaller than the sum of its proper divisors (238789920).

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

123436896 is a wasteful number, since it uses less digits than its factorization.

123436896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2908 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 123436896 is about 11110.2158394875. The cubic root of 123436896 is about 497.9071132060.

The spelling of 123436896 in words is "one hundred twenty-three million, four hundred thirty-six thousand, eight hundred ninety-six".