1912960 has 96 divisors (see below), whose sum is σ = 5407020. Its totient is φ = 645120.

The previous prime is 1912951. The next prime is 1912969. The reversal of 1912960 is 692191.

It is an interprime number because it is at equal distance from previous prime (1912951) and next prime (1912969).

It can be written as a sum of positive squares in 2 ways, for example, as 1658944 + 254016 = 1288^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1912969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31330 + ... + 31390.

2^1912960 is an apocalyptic number.

1912960 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 1912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703510).

1912960 is an abundant number, since it is smaller than the sum of its proper divisors (3494060).

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

1912960 is an equidigital number, since it uses as much as digits as its factorization.

1912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 1912960 is about 1383.0979719456. The cubic root of 1912960 is about 124.1372050475.

The spelling of 1912960 in words is "one million, nine hundred twelve thousand, nine hundred sixty".