66370920 has 192 divisors, whose sum is σ = 250508160. Its totient is φ = 13770240.

The previous prime is 66370919. The next prime is 66370921. The reversal of 66370920 is 2907366.

It is an interprime number because it is at equal distance from previous prime (66370919) and next prime (66370921).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66370921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101314 + ... + 101966.

It is an arithmetic number, because the mean of its divisors is an integer number (1304730).

Almost surely, 2^66370920 is an apocalyptic number.

66370920 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 66370920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125254080).

66370920 is an abundant number, since it is smaller than the sum of its proper divisors (184137240).

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

66370920 is a wasteful number, since it uses less digits than its factorization.

66370920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 66370920 is about 8146.8349682561. The cubic root of 66370920 is about 404.8796472138.

The spelling of 66370920 in words is "sixty-six million, three hundred seventy thousand, nine hundred twenty".