123794208 has 72 divisors (see below), whose sum is σ = 353221596. Its totient is φ = 41126400.

The previous prime is 123794201. The next prime is 123794219. The reversal of 123794208 is 802497321.

It can be written as a sum of positive squares in 2 ways, for example, as 111767184 + 12027024 = 10572^2 + 3468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (123794201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120738 + ... + 121758.

Almost surely, 2^123794208 is an apocalyptic number.

123794208 is a gapful number since it is divisible by the number (18) 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 123794208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176610798).

123794208 is an abundant number, since it is smaller than the sum of its proper divisors (229427388).

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

123794208 is a wasteful number, since it uses less digits than its factorization.

123794208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 123794208 is about 11126.2845550525. The cubic root of 123794208 is about 498.3870799056.

The spelling of 123794208 in words is "one hundred twenty-three million, seven hundred ninety-four thousand, two hundred eight".