1953882 has 40 divisors (see below), whose sum is σ = 5006496. Its totient is φ = 557928.

The previous prime is 1953869. The next prime is 1953901. The reversal of 1953882 is 2883591.

It is a d-powerful number, because it can be written as 1 + 9 + 5⁹ + 3⁶ + 8 + 8 + 2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 273 + ... + 1995.

2^1953882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1953882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503248).

1953882 is an abundant number, since it is smaller than the sum of its proper divisors (3052614).

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

1953882 is a wasteful number, since it uses less digits than its factorization.

1953882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1735 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1953882 is about 1397.8132922533. The cubic root of 1953882 is about 125.0161472474.

The spelling of 1953882 in words is "one million, nine hundred fifty-three thousand, eight hundred eighty-two".