123264760 has 48 divisors (see below), whose sum is σ = 285170760. Its totient is φ = 47952000.

The previous prime is 123264719. The next prime is 123264769. The reversal of 123264760 is 67462321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123264769) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 53635 + ... + 55885.

Almost surely, 2^123264760 is an apocalyptic number.

123264760 is a gapful number since it is divisible by the number (10) 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 123264760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142585380).

123264760 is an abundant number, since it is smaller than the sum of its proper divisors (161906000).

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

123264760 is a wasteful number, since it uses less digits than its factorization.

123264760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 123264760 is about 11102.4663926535. The cubic root of 123264760 is about 497.6755573447.

The spelling of 123264760 in words is "one hundred twenty-three million, two hundred sixty-four thousand, seven hundred sixty".