1005693456 has 20 divisors (see below), whose sum is σ = 2598041552. Its totient is φ = 335231136.

The previous prime is 1005693431. The next prime is 1005693457. The reversal of 1005693456 is 6543965001.

1005693456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1005693456³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1005693457) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10475926 + ... + 10476021.

Almost surely, 2^1005693456 is an apocalyptic number.

1005693456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1005693456 is an abundant number, since it is smaller than the sum of its proper divisors (1592348096).

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

1005693456 is a wasteful number, since it uses less digits than its factorization.

1005693456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20951958 (or 20951952 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 1005693456 is about 31712.6702754593. The cubic root of 1005693456 is about 1001.8942283003.

The spelling of 1005693456 in words is "one billion, five million, six hundred ninety-three thousand, four hundred fifty-six".