1967940 has 108 divisors (see below), whose sum is σ = 6657924. Its totient is φ = 467712.

The previous prime is 1967939. The next prime is 1967947. The reversal of 1967940 is 497691.

It can be written as a sum of positive squares in 6 ways, for example, as 112896 + 1855044 = 336^2 + 1362^2 .

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 = 1967895 and 1967904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1967947) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67846 + ... + 67874.

2^1967940 is an apocalyptic number.

1967940 is a gapful number since it is divisible by the number (10) 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 1967940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328962).

1967940 is an abundant number, since it is smaller than the sum of its proper divisors (4689984).

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

1967940 is a wasteful number, since it uses less digits than its factorization.

1967940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1967940 is about 1402.8328482039. The cubic root of 1967940 is about 125.3152575662.

The spelling of 1967940 in words is "one million, nine hundred sixty-seven thousand, nine hundred forty".