331096896 has 280 divisors, whose sum is σ = 1123020360. Its totient is φ = 95883264.

The previous prime is 331096889. The next prime is 331096897. The reversal of 331096896 is 698690133.

It can be written as a sum of positive squares in 4 ways, for example, as 19927296 + 311169600 = 4464^2 + 17640^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331096897) 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, 19476280 + ... + 19476296.

It is an arithmetic number, because the mean of its divisors is an integer number (4010787).

Almost surely, 2^331096896 is an apocalyptic number.

331096896 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 331096896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561510180).

331096896 is an abundant number, since it is smaller than the sum of its proper divisors (791923464).

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

331096896 is an equidigital number, since it uses as much as digits as its factorization.

331096896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 331096896 is about 18196.0681467179. The cubic root of 331096896 is about 691.8071343749.

The spelling of 331096896 in words is "three hundred thirty-one million, ninety-six thousand, eight hundred ninety-six".