66596400 has 180 divisors, whose sum is σ = 249060448. Its totient is φ = 16381440.

The previous prime is 66596399. The next prime is 66596407. The reversal of 66596400 is 469566.

It is a happy number.

66596400 is a `hidden beast` number, since 6 + 6 + 5 + 9 + 640 + 0 = 666.

66596400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (66596407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 46089 + ... + 47511.

Almost surely, 2^66596400 is an apocalyptic number.

66596400 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 66596400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124530224).

66596400 is an abundant number, since it is smaller than the sum of its proper divisors (182464048).

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

66596400 is a wasteful number, since it uses less digits than its factorization.

66596400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1446 counting only the distinct ones).

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

The square root of 66596400 is about 8160.6617378740. The cubic root of 66596400 is about 405.3376242717.

The spelling of 66596400 in words is "sixty-six million, five hundred ninety-six thousand, four hundred".