123431616 has 336 divisors, whose sum is σ = 464076288. Its totient is φ = 30666240.

The previous prime is 123431579. The next prime is 123431617. The reversal of 123431616 is 616134321.

123431616 is a `hidden beast` number, since 1 + 2 + 3 + 43 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2592) is a multiple of the sum of its prime factors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 123431616.

It is not an unprimeable number, because it can be changed into a prime (123431617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5366581 + ... + 5366603.

Almost surely, 2^123431616 is an apocalyptic number.

123431616 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 123431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232038144).

123431616 is an abundant number, since it is smaller than the sum of its proper divisors (340644672).

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

123431616 is a wasteful number, since it uses less digits than its factorization.

123431616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 123431616 is about 11109.9782178004. The cubic root of 123431616 is about 497.9000137970.

Adding to 123431616 its reverse (616134321), we get a palindrome (739565937).

The spelling of 123431616 in words is "one hundred twenty-three million, four hundred thirty-one thousand, six hundred sixteen".