123626448 has 120 divisors (see below), whose sum is σ = 399724416. Its totient is φ = 35251200.

The previous prime is 123626441. The next prime is 123626453. The reversal of 123626448 is 844626321.

123626448 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 2 + 644 + 8 = 666.

It is a super-3 number, since 3×123626448³ (a number of 25 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123626441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24633 + ... + 29223.

Almost surely, 2^123626448 is an apocalyptic number.

123626448 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 123626448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199862208).

123626448 is an abundant number, since it is smaller than the sum of its proper divisors (276097968).

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

123626448 is a wasteful number, since it uses less digits than its factorization.

123626448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4624 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 123626448 is about 11118.7430944329. The cubic root of 123626448 is about 498.1618480089.

The spelling of 123626448 in words is "one hundred twenty-three million, six hundred twenty-six thousand, four hundred forty-eight".