1992960 has 108 divisors (see below), whose sum is σ = 6935292. Its totient is φ = 528384.

The previous prime is 1992953. The next prime is 1992971. The reversal of 1992960 is 692991.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 665856 = 1152^2 + 816^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11434 + ... + 11606.

2^1992960 is an apocalyptic number.

1992960 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 1992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467646).

1992960 is an abundant number, since it is smaller than the sum of its proper divisors (4942332).

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

1992960 is a wasteful number, since it uses less digits than its factorization.

1992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1992960 is about 1411.7223523059. The cubic root of 1992960 is about 125.8441004582.

The spelling of 1992960 in words is "one million, nine hundred ninety-two thousand, nine hundred sixty".