123075264 has 84 divisors (see below), whose sum is σ = 352705416. Its totient is φ = 37859328.

The previous prime is 123075233. The next prime is 123075287. The reversal of 123075264 is 462570321.

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, 30552 + ... + 34344.

It is an arithmetic number, because the mean of its divisors is an integer number (4198874).

Almost surely, 2^123075264 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 123075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176352708).

123075264 is an abundant number, since it is smaller than the sum of its proper divisors (229630152).

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

123075264 is a wasteful number, since it uses less digits than its factorization.

123075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 123075264 is about 11093.9291506661. The cubic root of 123075264 is about 497.4203995437.

It can be divided in two parts, 12307 and 5264, that added together give a palindrome (17571).

The spelling of 123075264 in words is "one hundred twenty-three million, seventy-five thousand, two hundred sixty-four".