66123264 has 40 divisors (see below), whose sum is σ = 176160600. Its totient is φ = 22040576.

The previous prime is 66123259. The next prime is 66123269. The reversal of 66123264 is 46232166.

It is an interprime number because it is at equal distance from previous prime (66123259) and next prime (66123269).

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 (66123269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19989 + ... + 23060.

It is an arithmetic number, because the mean of its divisors is an integer number (4404015).

Almost surely, 2^66123264 is an apocalyptic number.

66123264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66123264 is an abundant number, since it is smaller than the sum of its proper divisors (110037336).

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

66123264 is an equidigital number, since it uses as much as digits as its factorization.

66123264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43070 (or 43054 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 66123264 is about 8131.6212405645. The cubic root of 66123264 is about 404.3754311616.

The spelling of 66123264 in words is "sixty-six million, one hundred twenty-three thousand, two hundred sixty-four".