123563664 has 160 divisors (see below), whose sum is σ = 419616000. Its totient is φ = 34062336.

The previous prime is 123563653. The next prime is 123563681. The reversal of 123563664 is 466365321.

123563664 is a `hidden beast` number, since 12 + 3 + 5 + 636 + 6 + 4 = 666.

It is a super-2 number, since 2×123563664² = 30535958122209792, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86992 + ... + 88400.

It is an arithmetic number, because the mean of its divisors is an integer number (2622600).

Almost surely, 2^123563664 is an apocalyptic number.

123563664 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 123563664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209808000).

123563664 is an abundant number, since it is smaller than the sum of its proper divisors (296052336).

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

123563664 is a wasteful number, since it uses less digits than its factorization.

123563664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1450 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 123563664 is about 11115.9193951738. The cubic root of 123563664 is about 498.0775028165.

The spelling of 123563664 in words is "one hundred twenty-three million, five hundred sixty-three thousand, six hundred sixty-four".