1953792 has 78 divisors (see below), whose sum is σ = 5750082. Its totient is φ = 638976.

The previous prime is 1953767. The next prime is 1953799. The reversal of 1953792 is 2973591.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 147456 = 1344^2 + 384^2 .

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

It is a d-powerful number, because it can be written as 1 + 9⁵ + 5³ + 3¹² + 7⁷ + 9⁶ + 2¹³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1953799) 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 5 ways as a sum of consecutive naturals, for example, 36838 + ... + 36890.

It is an arithmetic number, because the mean of its divisors is an integer number (73719).

2^1953792 is an apocalyptic number.

1953792 is a gapful number since it is divisible by the number (12) 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 1953792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875041).

1953792 is an abundant number, since it is smaller than the sum of its proper divisors (3796290).

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

1953792 is an equidigital number, since it uses as much as digits as its factorization.

1953792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 1953792 is about 1397.7810987419. The cubic root of 1953792 is about 125.0142277138.

The spelling of 1953792 in words is "one million, nine hundred fifty-three thousand, seven hundred ninety-two".