1007626112 has 32 divisors (see below), whose sum is σ = 2076607800. Its totient is φ = 486438400.

The previous prime is 1007626111. The next prime is 1007626117. The reversal of 1007626112 is 2116267001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007626111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132014 + ... + 139437.

Almost surely, 2^1007626112 is an apocalyptic number.

It is an amenable number.

1007626112 is an abundant number, since it is smaller than the sum of its proper divisors (1068981688).

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

1007626112 is an equidigital number, since it uses as much as digits as its factorization.

1007626112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271494 (or 271482 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1007626112 is about 31743.1270041248. The cubic root of 1007626112 is about 1002.5356026187.

The spelling of 1007626112 in words is "one billion, seven million, six hundred twenty-six thousand, one hundred twelve".