66311124 has 48 divisors (see below), whose sum is σ = 169268736. Its totient is φ = 20037600.

The previous prime is 66311123. The next prime is 66311129. The reversal of 66311124 is 42111366.

It is a super-2 number, since 2×66311124² = 8794330332286752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 66311094 and 66311103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66311123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90849 + ... + 91575.

It is an arithmetic number, because the mean of its divisors is an integer number (3526432).

Almost surely, 2^66311124 is an apocalyptic number.

It is an amenable number.

66311124 is an abundant number, since it is smaller than the sum of its proper divisors (102957612).

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

66311124 is a wasteful number, since it uses less digits than its factorization.

66311124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1434 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 66311124 is about 8143.1642498478. The cubic root of 66311124 is about 404.7580203645.

The spelling of 66311124 in words is "sixty-six million, three hundred eleven thousand, one hundred twenty-four".