1057792 has 22 divisors (see below), whose sum is σ = 2116598. Its totient is φ = 528384.

The previous prime is 1057781. The next prime is 1057807. The reversal of 1057792 is 2977501.

It can be written as a sum of positive squares in only one way, i.e., 1048576 + 9216 = 1024^2 + 96^2 .

It is a super-2 number, since 2×1057792² = 2237847830528, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508 + ... + 1540.

It is an arithmetic number, because the mean of its divisors is an integer number (96209).

2^1057792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058299).

1057792 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1057792 is an equidigital number, since it uses as much as digits as its factorization.

1057792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 1057792 is about 1028.4901555192. The cubic root of 1057792 is about 101.8904372707.

It can be divided in two parts, 1057 and 792, that added together give a square (1849 = 43²).

The spelling of 1057792 in words is "one million, fifty-seven thousand, seven hundred ninety-two".