123640416 has 72 divisors (see below), whose sum is σ = 352936584. Its totient is φ = 41057280.

The previous prime is 123640411. The next prime is 123640423. The reversal of 123640416 is 614046321.

123640416 is a `hidden beast` number, since 1 + 2 + 3 + 640 + 4 + 16 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123640416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123640411) 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, 94680 + ... + 95976.

It is an arithmetic number, because the mean of its divisors is an integer number (4901897).

Almost surely, 2^123640416 is an apocalyptic number.

123640416 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 123640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176468292).

123640416 is an abundant number, since it is smaller than the sum of its proper divisors (229296168).

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

123640416 is a wasteful number, since it uses less digits than its factorization.

123640416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 123640416 is about 11119.3712052436. The cubic root of 123640416 is about 498.1806089961.

Adding to 123640416 its reverse (614046321), we get a palindrome (737686737).

The spelling of 123640416 in words is "one hundred twenty-three million, six hundred forty thousand, four hundred sixteen".