1057320 has 128 divisors (see below), whose sum is σ = 3888000. Its totient is φ = 253440.

The previous prime is 1057307. The next prime is 1057361. The reversal of 1057320 is 237501.

It is a super-2 number, since 2×1057320² = 2235851164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1057293 and 1057302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11836 + ... + 11924.

It is an arithmetic number, because the mean of its divisors is an integer number (30375).

2^1057320 is an apocalyptic number.

1057320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1057320 is the 594-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944000).

1057320 is an abundant number, since it is smaller than the sum of its proper divisors (2830680).

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

1057320 is a wasteful number, since it uses less digits than its factorization.

1057320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1057320 is about 1028.2606673407. The cubic root of 1057320 is about 101.8752800876.

The spelling of 1057320 in words is "one million, fifty-seven thousand, three hundred twenty".