123638760 has 288 divisors, whose sum is σ = 481235040. Its totient is φ = 27433728.

The previous prime is 123638759. The next prime is 123638783. The reversal of 123638760 is 67836321.

It is a happy number.

123638760 is a `hidden beast` number, since 12 + 3 + 638 + 7 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 758439 + ... + 758601.

It is an arithmetic number, because the mean of its divisors is an integer number (1670955).

Almost surely, 2^123638760 is an apocalyptic number.

123638760 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 123638760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240617520).

123638760 is an abundant number, since it is smaller than the sum of its proper divisors (357596280).

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

123638760 is a wasteful number, since it uses less digits than its factorization.

123638760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 123638760 is about 11119.2967403519. The cubic root of 123638760 is about 498.1783848292.

The spelling of 123638760 in words is "one hundred twenty-three million, six hundred thirty-eight thousand, seven hundred sixty".