66124500 has 96 divisors (see below), whose sum is σ = 207427584. Its totient is φ = 16272000.

The previous prime is 66124493. The next prime is 66124529. The reversal of 66124500 is 542166.

It is a congruent number.

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, 17805 + ... + 21195.

It is an arithmetic number, because the mean of its divisors is an integer number (2160704).

Almost surely, 2^66124500 is an apocalyptic number.

66124500 is a gapful number since it is divisible by the number (60) 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 66124500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103713792).

66124500 is an abundant number, since it is smaller than the sum of its proper divisors (141303084).

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

66124500 is a wasteful number, since it uses less digits than its factorization.

66124500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 66124500 is about 8131.6972398141. The cubic root of 66124500 is about 404.3779507233.

Adding to 66124500 its reverse (542166), we get a palindrome (66666666).

The spelling of 66124500 in words is "sixty-six million, one hundred twenty-four thousand, five hundred".