66625920 has 192 divisors, whose sum is σ = 236293200. Its totient is φ = 17289216.

The previous prime is 66625891. The next prime is 66625961. The reversal of 66625920 is 2952666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247546 + ... + 247814.

Almost surely, 2^66625920 is an apocalyptic number.

66625920 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 66625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118146600).

66625920 is an abundant number, since it is smaller than the sum of its proper divisors (169667280).

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

66625920 is a wasteful number, since it uses less digits than its factorization.

66625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

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

The square root of 66625920 is about 8162.4702143408. The cubic root of 66625920 is about 405.3975063830.

The spelling of 66625920 in words is "sixty-six million, six hundred twenty-five thousand, nine hundred twenty".