1007990816 has 48 divisors (see below), whose sum is σ = 2346200640. Its totient is φ = 417096960.

The previous prime is 1007990803. The next prime is 1007990833. The reversal of 1007990816 is 6180997001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71090 + ... + 84081.

It is an arithmetic number, because the mean of its divisors is an integer number (48879180).

Almost surely, 2^1007990816 is an apocalyptic number.

1007990816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1007990816 is an abundant number, since it is smaller than the sum of its proper divisors (1338209824).

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

1007990816 is a wasteful number, since it uses less digits than its factorization.

1007990816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155217 (or 155209 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 41.

The square root of 1007990816 is about 31748.8710980406. The cubic root of 1007990816 is about 1002.6565418694.

The spelling of 1007990816 in words is "one billion, seven million, nine hundred ninety thousand, eight hundred sixteen".