66921120 has 192 divisors, whose sum is σ = 267805440. Its totient is φ = 15289344.

The previous prime is 66921103. The next prime is 66921131. The reversal of 66921120 is 2112966.

66921120 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 (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 29134 + ... + 31346.

It is an arithmetic number, because the mean of its divisors is an integer number (1394820).

Almost surely, 2^66921120 is an apocalyptic number.

66921120 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 66921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133902720).

66921120 is an abundant number, since it is smaller than the sum of its proper divisors (200884320).

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

66921120 is a wasteful number, since it uses less digits than its factorization.

66921120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 66921120 is about 8180.5329899708. The cubic root of 66921120 is about 405.9953569482.

The spelling of 66921120 in words is "sixty-six million, nine hundred twenty-one thousand, one hundred twenty".