1968624 has 150 divisors (see below), whose sum is σ = 6841824. Its totient is φ = 544320.

The previous prime is 1968613. The next prime is 1968641. The reversal of 1968624 is 4268691.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63489 + ... + 63519.

2^1968624 is an apocalyptic number.

1968624 is a gapful number since it is divisible by the number (14) 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 1968624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420912).

1968624 is an abundant number, since it is smaller than the sum of its proper divisors (4873200).

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

1968624 is a wasteful number, since it uses less digits than its factorization.

1968624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 43 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1968624 is about 1403.0766194332. The cubic root of 1968624 is about 125.3297745582.

The spelling of 1968624 in words is "one million, nine hundred sixty-eight thousand, six hundred twenty-four".