1057006640 has 40 divisors (see below), whose sum is σ = 2463220320. Its totient is φ = 421825536.

The previous prime is 1057006619. The next prime is 1057006667. The reversal of 1057006640 is 466007501.

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

It is a super-2 number, since 2×1057006640² = 2234526074008179200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20072 + ... + 50168.

It is an arithmetic number, because the mean of its divisors is an integer number (61580508).

Almost surely, 2^1057006640 is an apocalyptic number.

1057006640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057006640 is an abundant number, since it is smaller than the sum of its proper divisors (1406213680).

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

1057006640 is a wasteful number, since it uses less digits than its factorization.

1057006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30549 (or 30543 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 1057006640 is about 32511.6385314552. The cubic root of 1057006640 is about 1018.6521476767.

The spelling of 1057006640 in words is "one billion, fifty-seven million, six thousand, six hundred forty".