1961168 has 30 divisors (see below), whose sum is σ = 4180722. Its totient is φ = 890560.

The previous prime is 1961147. The next prime is 1961173. The reversal of 1961168 is 8611691.

It can be written as a sum of positive squares in only one way, i.e., 1024144 + 937024 = 1012^2 + 968^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1430 + ... + 2442.

2^1961168 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 1961168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090361).

1961168 is an abundant number, since it is smaller than the sum of its proper divisors (2219554).

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

1961168 is a wasteful number, since it uses less digits than its factorization.

1961168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1026 counting only the distinct ones).

The product of its digits is 2592, while the sum is 32.

The square root of 1961168 is about 1400.4170807299. The cubic root of 1961168 is about 125.1713490088.

It can be divided in two parts, 1 and 961168, that added together give a palindrome (961169).

The spelling of 1961168 in words is "one million, nine hundred sixty-one thousand, one hundred sixty-eight".