66593040 has 80 divisors (see below), whose sum is σ = 207361728. Its totient is φ = 17678848.

The previous prime is 66593011. The next prime is 66593041. The reversal of 66593040 is 4039566.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 66592992 and 66593010.

It is not an unprimeable number, because it can be changed into a prime (66593041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69847 + ... + 70793.

Almost surely, 2^66593040 is an apocalyptic number.

66593040 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 66593040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680864).

66593040 is an abundant number, since it is smaller than the sum of its proper divisors (140768688).

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

66593040 is a wasteful number, since it uses less digits than its factorization.

66593040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 66593040 is about 8160.4558696190. The cubic root of 66593040 is about 405.3308073000.

The spelling of 66593040 in words is "sixty-six million, five hundred ninety-three thousand, forty".