66311120 has 20 divisors (see below), whose sum is σ = 154173540. Its totient is φ = 26524416.

The previous prime is 66311111. The next prime is 66311123. The reversal of 66311120 is 2111366.

It can be written as a sum of positive squares in 2 ways, for example, as 13719616 + 52591504 = 3704^2 + 7252^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 66311092 and 66311101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66311123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 414365 + ... + 414524.

It is an arithmetic number, because the mean of its divisors is an integer number (7708677).

Almost surely, 2^66311120 is an apocalyptic number.

It is an amenable number.

66311120 is an abundant number, since it is smaller than the sum of its proper divisors (87862420).

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

66311120 is a wasteful number, since it uses less digits than its factorization.

66311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828902 (or 828896 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 66311120 is about 8143.1640042431. The cubic root of 66311120 is about 404.7580122260.

Adding to 66311120 its reverse (2111366), we get a palindrome (68422486).

The spelling of 66311120 in words is "sixty-six million, three hundred eleven thousand, one hundred twenty".