66204840 has 192 divisors, whose sum is σ = 226920960. Its totient is φ = 15344640.

The previous prime is 66204829. The next prime is 66204841. The reversal of 66204840 is 4840266.

66204840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66204798 and 66204807.

It is not an unprimeable number, because it can be changed into a prime (66204841) 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 47 ways as a sum of consecutive naturals, for example, 1789302 + ... + 1789338.

It is an arithmetic number, because the mean of its divisors is an integer number (1181880).

Almost surely, 2^66204840 is an apocalyptic number.

66204840 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 66204840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113460480).

66204840 is an abundant number, since it is smaller than the sum of its proper divisors (160716120).

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

66204840 is a wasteful number, since it uses less digits than its factorization.

66204840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 66204840 is about 8136.6356683828. The cubic root of 66204840 is about 404.5416549283.

The spelling of 66204840 in words is "sixty-six million, two hundred four thousand, eight hundred forty".