66967020 has 192 divisors, whose sum is σ = 224985600. Its totient is φ = 16485120.

The previous prime is 66967013. The next prime is 66967031. The reversal of 66967020 is 2076966.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 625807 + ... + 625913.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^66967020 is an apocalyptic number.

66967020 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 66967020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

66967020 is an abundant number, since it is smaller than the sum of its proper divisors (158018580).

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

66967020 is a wasteful number, since it uses less digits than its factorization.

66967020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 66967020 is about 8183.3379497611. The cubic root of 66967020 is about 406.0881573875.

The spelling of 66967020 in words is "sixty-six million, nine hundred sixty-seven thousand, twenty".