123627264 has 108 divisors (see below), whose sum is σ = 350149464. Its totient is φ = 38715392.

The previous prime is 123627223. The next prime is 123627271. The reversal of 123627264 is 462726321.

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 11 ways as a sum of consecutive naturals, for example, 221674 + ... + 222230.

Almost surely, 2^123627264 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 123627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175074732).

123627264 is an abundant number, since it is smaller than the sum of its proper divisors (226522200).

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

123627264 is an equidigital number, since it uses as much as digits as its factorization.

123627264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 579 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 123627264 is about 11118.7797891675. The cubic root of 123627264 is about 498.1629440504.

The spelling of 123627264 in words is "one hundred twenty-three million, six hundred twenty-seven thousand, two hundred sixty-four".