66596040 has 256 divisors, whose sum is σ = 265420800. Its totient is φ = 14522112.

The previous prime is 66596009. The next prime is 66596059. The reversal of 66596040 is 4069566.

It is a happy number.

66596040 is a `hidden beast` number, since 66 + 596 + 0 + 4 + 0 = 666.

66596040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 66595986 and 66596004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173689 + ... + 174071.

It is an arithmetic number, because the mean of its divisors is an integer number (1036800).

Almost surely, 2^66596040 is an apocalyptic number.

66596040 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 66596040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132710400).

66596040 is an abundant number, since it is smaller than the sum of its proper divisors (198824760).

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

66596040 is a wasteful number, since it uses less digits than its factorization.

66596040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 66596040 is about 8160.6396808093. The cubic root of 66596040 is about 405.3368938928.

The spelling of 66596040 in words is "sixty-six million, five hundred ninety-six thousand, forty".