123840576 has 84 divisors (see below), whose sum is σ = 368159792. Its totient is φ = 41275008.

The previous prime is 123840571. The next prime is 123840581. The reversal of 123840576 is 675048321.

123840576 is a `hidden beast` number, since 1 + 2 + 3 + 84 + 0 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (123840571) and next prime (123840581).

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

It is a self number, because there is not a number n which added to its sum of digits gives 123840576.

It is not an unprimeable number, because it can be changed into a prime (123840571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11571 + ... + 19533.

Almost surely, 2^123840576 is an apocalyptic number.

123840576 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 123840576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184079896).

123840576 is an abundant number, since it is smaller than the sum of its proper divisors (244319216).

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

123840576 is an frugal number, since it uses more digits than its factorization.

123840576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7990 (or 7968 counting only the distinct ones).

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

The square root of 123840576 is about 11128.3680744303. The cubic root of 123840576 is about 498.4492969453.

Adding to 123840576 its reverse (675048321), we get a palindrome (798888897).

It can be divided in two parts, 1238 and 40576, that added together give a palindrome (41814).

The spelling of 123840576 in words is "one hundred twenty-three million, eight hundred forty thousand, five hundred seventy-six".