1057824 has 36 divisors (see below), whose sum is σ = 3009006. Its totient is φ = 352512.

The previous prime is 1057807. The next prime is 1057831. The reversal of 1057824 is 4287501.

It can be written as a sum of positive squares in only one way, i.e., 1040400 + 17424 = 1020^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1057824² = 2237983229952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1549 + ... + 2124.

2^1057824 is an apocalyptic number.

It is an amenable number.

1057824 is an abundant number, since it is smaller than the sum of its proper divisors (1951182).

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

1057824 is a wasteful number, since it uses less digits than its factorization.

1057824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1057824 is about 1028.5057121864. The cubic root of 1057824 is about 101.8914647131.

It can be divided in two parts, 1057 and 824, that added together give a palindrome (1881).

The spelling of 1057824 in words is "one million, fifty-seven thousand, eight hundred twenty-four".