123736806 has 96 divisors (see below), whose sum is σ = 290234880. Its totient is φ = 38035008.

The previous prime is 123736801. The next prime is 123736819. The reversal of 123736806 is 608637321.

It is a happy number.

It is a super-3 number, since 3×123736806³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123736801) 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, 1846785 + ... + 1846851.

It is an arithmetic number, because the mean of its divisors is an integer number (3023280).

Almost surely, 2^123736806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123736806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145117440).

123736806 is an abundant number, since it is smaller than the sum of its proper divisors (166498074).

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

123736806 is a wasteful number, since it uses less digits than its factorization.

123736806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 215 counting only the distinct ones).

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

The square root of 123736806 is about 11123.7046886368. The cubic root of 123736806 is about 498.3100358107.

The spelling of 123736806 in words is "one hundred twenty-three million, seven hundred thirty-six thousand, eight hundred six".