66124836 has 60 divisors (see below), whose sum is σ = 174332928. Its totient is φ = 21854448.

The previous prime is 66124811. The next prime is 66124853. The reversal of 66124836 is 63842166.

66124836 is a `hidden beast` number, since 6 + 612 + 4 + 8 + 36 = 666.

It is a super-3 number, since 3×66124836³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66124836.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40345 + ... + 41951.

Almost surely, 2^66124836 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 66124836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87166464).

66124836 is an abundant number, since it is smaller than the sum of its proper divisors (108208092).

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

66124836 is a wasteful number, since it uses less digits than its factorization.

66124836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1739 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 66124836 is about 8131.7178996815. The cubic root of 66124836 is about 404.3786356472.

The spelling of 66124836 in words is "sixty-six million, one hundred twenty-four thousand, eight hundred thirty-six".