66850920 has 160 divisors (see below), whose sum is σ = 229996800. Its totient is φ = 17407872.

The previous prime is 66850907. The next prime is 66850921. The reversal of 66850920 is 2905866.

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 (66850921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152061 + ... + 152499.

It is an arithmetic number, because the mean of its divisors is an integer number (1437480).

Almost surely, 2^66850920 is an apocalyptic number.

66850920 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 66850920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114998400).

66850920 is an abundant number, since it is smaller than the sum of its proper divisors (163145880).

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

66850920 is a wasteful number, since it uses less digits than its factorization.

66850920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 66850920 is about 8176.2411901802. The cubic root of 66850920 is about 405.8533447522.

The spelling of 66850920 in words is "sixty-six million, eight hundred fifty thousand, nine hundred twenty".