123673536 has 168 divisors, whose sum is σ = 416580320. Its totient is φ = 34338816.

The previous prime is 123673519. The next prime is 123673567. The reversal of 123673536 is 635376321.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 123673536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148770 + ... + 149598.

Almost surely, 2^123673536 is an apocalyptic number.

123673536 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 123673536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208290160).

123673536 is an abundant number, since it is smaller than the sum of its proper divisors (292906784).

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

123673536 is a wasteful number, since it uses less digits than its factorization.

123673536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 878 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 123673536 is about 11120.8603983685. The cubic root of 123673536 is about 498.2250881647.

The spelling of 123673536 in words is "one hundred twenty-three million, six hundred seventy-three thousand, five hundred thirty-six".