331806816 has 288 divisors, whose sum is σ = 1118740896. Its totient is φ = 92160000.

The previous prime is 331806803. The next prime is 331806817. The reversal of 331806816 is 618608133.

331806816 = 341² + 342² + ... + 1011².

331806816 = 108³ + 109³ + ... + 195³.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×331806816² = 220191526288115712, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331806817) 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, 3285166 + ... + 3285266.

It is an arithmetic number, because the mean of its divisors is an integer number (3884517).

Almost surely, 2^331806816 is an apocalyptic number.

331806816 is a gapful number since it is divisible by the number (36) 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 331806816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559370448).

331806816 is an abundant number, since it is smaller than the sum of its proper divisors (786934080).

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

331806816 is a wasteful number, since it uses less digits than its factorization.

331806816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 331806816 is about 18215.5652122024. The cubic root of 331806816 is about 692.3012265151.

The spelling of 331806816 in words is "three hundred thirty-one million, eight hundred six thousand, eight hundred sixteen".