1331968 has 54 divisors (see below), whose sum is σ = 2990372. Its totient is φ = 591360.

The previous prime is 1331959. The next prime is 1331969. The reversal of 1331968 is 8691331.

1331968 = T₁₆₇ + T₁₆₈ + ... + T₂₃₂.

Its product of digits (3888) is a multiple of the sum of its prime factors (81).

It is not an unprimeable number, because it can be changed into a prime (1331969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30955 + ... + 30997.

2^1331968 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 1331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495186).

1331968 is an abundant number, since it is smaller than the sum of its proper divisors (1658404).

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

1331968 is an equidigital number, since it uses as much as digits as its factorization.

1331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 1331968 is about 1154.1091802772. The cubic root of 1331968 is about 110.0266602046.

The spelling of 1331968 in words is "one million, three hundred thirty-one thousand, nine hundred sixty-eight".