1967328 has 144 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 570240.

The previous prime is 1967323. The next prime is 1967347. The reversal of 1967328 is 8237691.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1967292 and 1967301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1967323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85525 + ... + 85547.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

2^1967328 is an apocalyptic number.

1967328 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 1967328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

1967328 is an abundant number, since it is smaller than the sum of its proper divisors (4637088).

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

1967328 is a wasteful number, since it uses less digits than its factorization.

1967328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 39 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1967328 is about 1402.6147011920. The cubic root of 1967328 is about 125.3022658271.

It can be divided in two parts, 19673 and 28, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 1967328 in words is "one million, nine hundred sixty-seven thousand, three hundred twenty-eight".