666193920 has 208 divisors, whose sum is σ = 2437641600. Its totient is φ = 152174592.

The previous prime is 666193897. The next prime is 666193949. The reversal of 666193920 is 29391666.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429306 + ... + 430854.

Almost surely, 2^666193920 is an apocalyptic number.

666193920 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 666193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218820800).

666193920 is an abundant number, since it is smaller than the sum of its proper divisors (1771447680).

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

666193920 is a wasteful number, since it uses less digits than its factorization.

666193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 666193920 is about 25810.7326513604. The cubic root of 666193920 is about 873.3739247817.

The spelling of 666193920 in words is "six hundred sixty-six million, one hundred ninety-three thousand, nine hundred twenty".