311020164 has 216 divisors, whose sum is σ = 996515520. Its totient is φ = 80061696.

The previous prime is 311020163. The next prime is 311020169. The reversal of 311020164 is 461020113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (311020163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2853342 + ... + 2853450.

Almost surely, 2^311020164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311020164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498257760).

311020164 is an abundant number, since it is smaller than the sum of its proper divisors (685495356).

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

311020164 is a wasteful number, since it uses less digits than its factorization.

311020164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 311020164 is about 17635.7637770526. The cubic root of 311020164 is about 677.5315374089.

Adding to 311020164 its reverse (461020113), we get a palindrome (772040277).

The spelling of 311020164 in words is "three hundred eleven million, twenty thousand, one hundred sixty-four".