66928320 has 168 divisors, whose sum is σ = 243925344. Its totient is φ = 16785408.

The previous prime is 66928313. The next prime is 66928327. The reversal of 66928320 is 2382966.

It is an interprime number because it is at equal distance from previous prime (66928313) and next prime (66928327).

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

It is not an unprimeable number, because it can be changed into a prime (66928327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48277 + ... + 49643.

Almost surely, 2^66928320 is an apocalyptic number.

66928320 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 66928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121962672).

66928320 is an abundant number, since it is smaller than the sum of its proper divisors (176997024).

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

66928320 is a wasteful number, since it uses less digits than its factorization.

66928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66928320 is about 8180.9730472603. The cubic root of 66928320 is about 406.0099166853.

The spelling of 66928320 in words is "sixty-six million, nine hundred twenty-eight thousand, three hundred twenty".