123360896 has 64 divisors (see below), whose sum is σ = 257040000. Its totient is φ = 58899456.

The previous prime is 123360877. The next prime is 123360899. The reversal of 123360896 is 698063321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123360899) 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, 619805 + ... + 620003.

It is an arithmetic number, because the mean of its divisors is an integer number (4016250).

Almost surely, 2^123360896 is an apocalyptic number.

123360896 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 123360896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520000).

123360896 is an abundant number, since it is smaller than the sum of its proper divisors (133679104).

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

123360896 is a wasteful number, since it uses less digits than its factorization.

123360896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 123360896 is about 11106.7950372734. The cubic root of 123360896 is about 497.8049052204.

The spelling of 123360896 in words is "one hundred twenty-three million, three hundred sixty thousand, eight hundred ninety-six".