123748560 has 300 divisors, whose sum is σ = 469520172. Its totient is φ = 30191616.

The previous prime is 123748543. The next prime is 123748567. The reversal of 123748560 is 65847321.

123748560 is a `hidden beast` number, since 1 + 23 + 74 + 8 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 62157456 + 61591104 = 7884^2 + 7848^2 .

It is a super-2 number, since 2×123748560² = 30627412204147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123748567) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1095064 + ... + 1095176.

Almost surely, 2^123748560 is an apocalyptic number.

123748560 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 123748560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234760086).

123748560 is an abundant number, since it is smaller than the sum of its proper divisors (345771612).

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

123748560 is a wasteful number, since it uses less digits than its factorization.

123748560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 123748560 is about 11124.2330072684. The cubic root of 123748560 is about 498.3258137912.

The spelling of 123748560 in words is "one hundred twenty-three million, seven hundred forty-eight thousand, five hundred sixty".