123664464 has 240 divisors, whose sum is σ = 454970880. Its totient is φ = 30378240.

The previous prime is 123664451. The next prime is 123664523. The reversal of 123664464 is 464466321.

123664464 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 644 + 6 + 4 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210379 + ... + 210965.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^123664464 is an apocalyptic number.

123664464 is a gapful number since it is divisible by the number (14) 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 123664464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

123664464 is an abundant number, since it is smaller than the sum of its proper divisors (331306416).

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

123664464 is a wasteful number, since it uses less digits than its factorization.

123664464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 123664464 is about 11120.4525087786. The cubic root of 123664464 is about 498.2129055300.

The spelling of 123664464 in words is "one hundred twenty-three million, six hundred sixty-four thousand, four hundred sixty-four".