1961960 has 128 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 564480.

The previous prime is 1961957. The next prime is 1961963. The reversal of 1961960 is 691691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1961957) and next prime (1961963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150914 + ... + 150926.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2^1961960 is an apocalyptic number.

1961960 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 1961960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

1961960 is an abundant number, since it is smaller than the sum of its proper divisors (4086040).

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

1961960 is a wasteful number, since it uses less digits than its factorization.

1961960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 1961960 is about 1400.6998250874. The cubic root of 1961960 is about 125.1881965144.

The spelling of 1961960 in words is "one million, nine hundred sixty-one thousand, nine hundred sixty".