123647040 has 224 divisors, whose sum is σ = 476219520. Its totient is φ = 29952000.

The previous prime is 123646987. The next prime is 123647053. The reversal of 123647040 is 40746321.

123647040 is a `hidden beast` number, since 12 + 3 + 647 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123646995 and 123647013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94390 + ... + 95690.

It is an arithmetic number, because the mean of its divisors is an integer number (2125980).

Almost surely, 2^123647040 is an apocalyptic number.

123647040 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 123647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238109760).

123647040 is an abundant number, since it is smaller than the sum of its proper divisors (352572480).

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

123647040 is a wasteful number, since it uses less digits than its factorization.

123647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 123647040 is about 11119.6690598237. The cubic root of 123647040 is about 498.1895054652.

The spelling of 123647040 in words is "one hundred twenty-three million, six hundred forty-seven thousand, forty".