123563776 has 72 divisors (see below), whose sum is σ = 287419104. Its totient is φ = 51916800.

The previous prime is 123563771. The next prime is 123563777. The reversal of 123563776 is 677365321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123563771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94326 + ... + 95626.

It is an arithmetic number, because the mean of its divisors is an integer number (3991932).

Almost surely, 2^123563776 is an apocalyptic number.

123563776 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 123563776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143709552).

123563776 is an abundant number, since it is smaller than the sum of its proper divisors (163855328).

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

123563776 is an equidigital number, since it uses as much as digits as its factorization.

123563776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1363 counting only the distinct ones).

The product of its digits is 158760, while the sum is 40.

The square root of 123563776 is about 11115.9244329925. The cubic root of 123563776 is about 498.0776533049.

The spelling of 123563776 in words is "one hundred twenty-three million, five hundred sixty-three thousand, seven hundred seventy-six".