331964864 has 224 divisors, whose sum is σ = 884846592. Its totient is φ = 119808000.

The previous prime is 331964863. The next prime is 331964869. The reversal of 331964864 is 468469133.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×331964864² = 220401341861076992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331964863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6263462 + ... + 6263514.

It is an arithmetic number, because the mean of its divisors is an integer number (3950208).

Almost surely, 2^331964864 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 331964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442423296).

331964864 is an abundant number, since it is smaller than the sum of its proper divisors (552881728).

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

331964864 is a wasteful number, since it uses less digits than its factorization.

331964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 331964864 is about 18219.9029635177. The cubic root of 331964864 is about 692.4111292767.

The spelling of 331964864 in words is "three hundred thirty-one million, nine hundred sixty-four thousand, eight hundred sixty-four".