1956880 has 40 divisors (see below), whose sum is σ = 4635864. Its totient is φ = 768000.

The previous prime is 1956859. The next prime is 1956881. The reversal of 1956880 is 886591.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 1710864 = 496^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1956881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4680 + ... + 5080.

2^1956880 is an apocalyptic number.

1956880 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 1956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317932).

1956880 is an abundant number, since it is smaller than the sum of its proper divisors (2678984).

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

1956880 is a wasteful number, since it uses less digits than its factorization.

1956880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 1956880 is about 1398.8852704922. The cubic root of 1956880 is about 125.0800553848.

The spelling of 1956880 in words is "one million, nine hundred fifty-six thousand, eight hundred eighty".