1956168 has 48 divisors (see below), whose sum is σ = 5370300. Its totient is φ = 643200.

The previous prime is 1956161. The next prime is 1956169. The reversal of 1956168 is 8616591.

It can be written as a sum of positive squares in 2 ways, for example, as 1954404 + 1764 = 1398^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1956161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7138 + ... + 7406.

2^1956168 is an apocalyptic number.

1956168 is a gapful number since it is divisible by the number (18) 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 1956168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685150).

1956168 is an abundant number, since it is smaller than the sum of its proper divisors (3414132).

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

1956168 is a wasteful number, since it uses less digits than its factorization.

1956168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1956168 is about 1398.6307589925. The cubic root of 1956168 is about 125.0648836484.

The spelling of 1956168 in words is "one million, nine hundred fifty-six thousand, one hundred sixty-eight".