123576516 has 180 divisors, whose sum is σ = 389701312. Its totient is φ = 33444576.

The previous prime is 123576499. The next prime is 123576521. The reversal of 123576516 is 615675321.

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 1199721 + ... + 1199823.

Almost surely, 2^123576516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123576516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194850656).

123576516 is an abundant number, since it is smaller than the sum of its proper divisors (266124796).

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

123576516 is a wasteful number, since it uses less digits than its factorization.

123576516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 123576516 is about 11116.4974699768. The cubic root of 123576516 is about 498.0947707575.

The spelling of 123576516 in words is "one hundred twenty-three million, five hundred seventy-six thousand, five hundred sixteen".