123966864 has 90 divisors (see below), whose sum is σ = 403600470. Its totient is φ = 35417088.

The previous prime is 123966863. The next prime is 123966881. The reversal of 123966864 is 468669321.

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 53406864 = 8400^2 + 7308^2 .

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

It is not an unprimeable number, because it can be changed into a prime (123966863) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1729 + ... + 15840.

Almost surely, 2^123966864 is an apocalyptic number.

123966864 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 123966864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201800235).

123966864 is an abundant number, since it is smaller than the sum of its proper divisors (279633606).

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

123966864 is a wasteful number, since it uses less digits than its factorization.

123966864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17597 (or 17581 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 123966864 is about 11134.0407759268. The cubic root of 123966864 is about 498.6186727174.

The spelling of 123966864 in words is "one hundred twenty-three million, nine hundred sixty-six thousand, eight hundred sixty-four".