1005727664 has 20 divisors (see below), whose sum is σ = 1955491656. Its totient is φ = 501084672.

The previous prime is 1005727621. The next prime is 1005727691. The reversal of 1005727664 is 4667275001.

It is a super-2 number, since 2×1005727664² = 2022976268269793792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106529 + ... + 115584.

Almost surely, 2^1005727664 is an apocalyptic number.

It is an amenable number.

1005727664 is a deficient number, since it is larger than the sum of its proper divisors (949763992).

1005727664 is a wasteful number, since it uses less digits than its factorization.

1005727664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222404 (or 222398 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 1005727664 is about 31713.2096136610. The cubic root of 1005727664 is about 1001.9055877620.

The spelling of 1005727664 in words is "one billion, five million, seven hundred twenty-seven thousand, six hundred sixty-four".