66573936 has 240 divisors, whose sum is σ = 226672992. Its totient is φ = 17971200.

The previous prime is 66573907. The next prime is 66573943. The reversal of 66573936 is 63937566.

It is a junction number, because it is equal to n+sod(n) for n = 66573891 and 66573900.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1091346 + ... + 1091406.

Almost surely, 2^66573936 is an apocalyptic number.

66573936 is a gapful number since it is divisible by the number (66) 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 66573936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113336496).

66573936 is an abundant number, since it is smaller than the sum of its proper divisors (160099056).

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

66573936 is a wasteful number, since it uses less digits than its factorization.

66573936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The square root of 66573936 is about 8159.2852628156. The cubic root of 66573936 is about 405.2920435877.

The spelling of 66573936 in words is "sixty-six million, five hundred seventy-three thousand, nine hundred thirty-six".