66706920 has 192 divisors, whose sum is σ = 251147520. Its totient is φ = 15040512.

The previous prime is 66706879. The next prime is 66706943. The reversal of 66706920 is 2960766.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259432 + ... + 259688.

It is an arithmetic number, because the mean of its divisors is an integer number (1308060).

Almost surely, 2^66706920 is an apocalyptic number.

66706920 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 66706920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125573760).

66706920 is an abundant number, since it is smaller than the sum of its proper divisors (184440600).

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

66706920 is a wasteful number, since it uses less digits than its factorization.

66706920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

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

The square root of 66706920 is about 8167.4304404751. The cubic root of 66706920 is about 405.5617262532.

The spelling of 66706920 in words is "sixty-six million, seven hundred six thousand, nine hundred twenty".