66036124 has 72 divisors (see below), whose sum is σ = 148523760. Its totient is φ = 25401600.

The previous prime is 66036121. The next prime is 66036167. The reversal of 66036124 is 42163066.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 66036092 and 66036101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66036121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234864 + ... + 235144.

It is an arithmetic number, because the mean of its divisors is an integer number (2062830).

Almost surely, 2^66036124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66036124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74261880).

66036124 is an abundant number, since it is smaller than the sum of its proper divisors (82487636).

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

66036124 is a wasteful number, since it uses less digits than its factorization.

66036124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 66036124 is about 8126.2613790106. The cubic root of 66036124 is about 404.1977187937.

The spelling of 66036124 in words is "sixty-six million, thirty-six thousand, one hundred twenty-four".