123660288 has 72 divisors (see below), whose sum is σ = 357206850. Its totient is φ = 41213952.

The previous prime is 123660287. The next prime is 123660301. The reversal of 123660288 is 882066321.

123660288 is a `hidden beast` number, since 12 + 36 + 602 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97772544 + 25887744 = 9888^2 + 5088^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (123660287) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15078 + ... + 21786.

Almost surely, 2^123660288 is an apocalyptic number.

123660288 is a gapful number since it is divisible by the number (18) 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 123660288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178603425).

123660288 is an abundant number, since it is smaller than the sum of its proper divisors (233546562).

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

123660288 is an equidigital number, since it uses as much as digits as its factorization.

123660288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6737 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 123660288 is about 11120.2647450499. The cubic root of 123660288 is about 498.2072974503.

The spelling of 123660288 in words is "one hundred twenty-three million, six hundred sixty thousand, two hundred eighty-eight".