1331880 has 64 divisors (see below), whose sum is σ = 4363200. Its totient is φ = 322560.

The previous prime is 1331857. The next prime is 1331921. The reversal of 1331880 is 881331.

1331880 = T₁₉₂ + T₁₉₃ + ... + T₂₄₆.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1331880.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816 + ... + 1824.

It is an arithmetic number, because the mean of its divisors is an integer number (68175).

2^1331880 is an apocalyptic number.

1331880 is a gapful number since it is divisible by the number (10) 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 1331880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181600).

1331880 is an abundant number, since it is smaller than the sum of its proper divisors (3031320).

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

1331880 is a wasteful number, since it uses less digits than its factorization.

1331880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1331880 is about 1154.0710550048. The cubic root of 1331880 is about 110.0242370835.

It can be divided in two parts, 1331 and 880, that added together give a triangular number (2211 = T₆₆).

The spelling of 1331880 in words is "one million, three hundred thirty-one thousand, eight hundred eighty".