1968616 has 32 divisors (see below), whose sum is σ = 4152960. Its totient is φ = 868032.

The previous prime is 1968613. The next prime is 1968641. The reversal of 1968616 is 6168691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968611) 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, 1981 + ... + 2803.

It is an arithmetic number, because the mean of its divisors is an integer number (129780).

2^1968616 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 1968616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076480).

1968616 is an abundant number, since it is smaller than the sum of its proper divisors (2184344).

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

1968616 is a wasteful number, since it uses less digits than its factorization.

1968616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 861 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The square root of 1968616 is about 1403.0737685525. The cubic root of 1968616 is about 125.3296047882.

It can be divided in two parts, 19 and 68616, that added together give a triangular number (68635 = T₃₇₀).

The spelling of 1968616 in words is "one million, nine hundred sixty-eight thousand, six hundred sixteen".