123647616 has 96 divisors (see below), whose sum is σ = 358378020. Its totient is φ = 40919040.

The previous prime is 123647591. The next prime is 123647621. The reversal of 123647616 is 616746321.

It is a happy number.

123647616 is a `hidden beast` number, since 1 + 2 + 3 + 647 + 6 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114062400 + 9585216 = 10680^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×123647616³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208216 + ... + 208808.

Almost surely, 2^123647616 is an apocalyptic number.

123647616 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 123647616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179189010).

123647616 is an abundant number, since it is smaller than the sum of its proper divisors (234730404).

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

123647616 is a wasteful number, since it uses less digits than its factorization.

123647616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 779 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 123647616 is about 11119.6949598449. The cubic root of 123647616 is about 498.1902790562.

The spelling of 123647616 in words is "one hundred twenty-three million, six hundred forty-seven thousand, six hundred sixteen".