1006697712 has 40 divisors (see below), whose sum is σ = 2604652240. Its totient is φ = 335047680.

The previous prime is 1006697693. The next prime is 1006697743. The reversal of 1006697712 is 2177966001.

It is a zygodrome in base 2.

It is a congruent number.

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, 15864 + ... + 47592.

It is an arithmetic number, because the mean of its divisors is an integer number (65116306).

Almost surely, 2^1006697712 is an apocalyptic number.

1006697712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 31728×31729.

It is an amenable number.

1006697712 is an abundant number, since it is smaller than the sum of its proper divisors (1597954528).

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

1006697712 is a wasteful number, since it uses less digits than its factorization.

1006697712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32401 (or 32395 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 1006697712 is about 31728.4999960603. The cubic root of 1006697712 is about 1002.2276047591.

The spelling of 1006697712 in words is "one billion, six million, six hundred ninety-seven thousand, seven hundred twelve".