1978960 has 40 divisors (see below), whose sum is σ = 4765320. Its totient is φ = 763392.

The previous prime is 1978927. The next prime is 1978981. The reversal of 1978960 is 698791.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 1971216 = 88^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1894 + ... + 2746.

It is an arithmetic number, because the mean of its divisors is an integer number (119133).

2^1978960 is an apocalyptic number.

1978960 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 1978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382660).

1978960 is an abundant number, since it is smaller than the sum of its proper divisors (2786360).

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

1978960 is a wasteful number, since it uses less digits than its factorization.

1978960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 1978960 is about 1406.7551314994. The cubic root of 1978960 is about 125.5487342674.

The spelling of 1978960 in words is "one million, nine hundred seventy-eight thousand, nine hundred sixty".