1006097344 has 56 divisors (see below), whose sum is σ = 2284829568. Its totient is φ = 430590720.

The previous prime is 1006097263. The next prime is 1006097381. The reversal of 1006097344 is 4437906001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520059 + ... + 521989.

It is an arithmetic number, because the mean of its divisors is an integer number (40800528).

Almost surely, 2^1006097344 is an apocalyptic number.

1006097344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1006097344 is an abundant number, since it is smaller than the sum of its proper divisors (1278732224).

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

1006097344 is a wasteful number, since it uses less digits than its factorization.

1006097344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 1006097344 is about 31719.0375642137. The cubic root of 1006097344 is about 1002.0283310914.

The spelling of 1006097344 in words is "one billion, six million, ninety-seven thousand, three hundred forty-four".