1968736 has 96 divisors (see below), whose sum is σ = 5225472. Its totient is φ = 706560.

The previous prime is 1968721. The next prime is 1968739. The reversal of 1968736 is 6378691.

Its product of digits (54432) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41865 + ... + 41911.

It is an arithmetic number, because the mean of its divisors is an integer number (54432).

2^1968736 is an apocalyptic number.

1968736 is a gapful number since it is divisible by the number (16) 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 1968736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612736).

1968736 is an abundant number, since it is smaller than the sum of its proper divisors (3256736).

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

1968736 is a wasteful number, since it uses less digits than its factorization.

1968736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 1968736 is about 1403.1165311548. The cubic root of 1968736 is about 125.3321512891.

It can be divided in two parts, 1968 and 736, that added together give a square (2704 = 52²).

The spelling of 1968736 in words is "one million, nine hundred sixty-eight thousand, seven hundred thirty-six".