1057793840 has 40 divisors (see below), whose sum is σ = 2588814960. Its totient is φ = 400847616.

The previous prime is 1057793833. The next prime is 1057793881. The reversal of 1057793840 is 483977501.

1057793840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1057793840² = 2237855615883891200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057793791 and 1057793800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346439 + ... + 349478.

It is an arithmetic number, because the mean of its divisors is an integer number (64720374).

Almost surely, 2^1057793840 is an apocalyptic number.

1057793840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057793840 is an abundant number, since it is smaller than the sum of its proper divisors (1531021120).

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

1057793840 is a wasteful number, since it uses less digits than its factorization.

1057793840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695949 (or 695943 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 1057793840 is about 32523.7427120558. The cubic root of 1057793840 is about 1018.9049634922.

The spelling of 1057793840 in words is "one billion, fifty-seven million, seven hundred ninety-three thousand, eight hundred forty".