1007924416 has 28 divisors (see below), whose sum is σ = 2029960888. Its totient is φ = 496438272.

The previous prime is 1007924399. The next prime is 1007924431. The reversal of 1007924416 is 6144297001.

It is an unprimeable number.

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, 113241 + ... + 121816.

Almost surely, 2^1007924416 is an apocalyptic number.

1007924416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1007924416 is an abundant number, since it is smaller than the sum of its proper divisors (1022036472).

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

1007924416 is an equidigital number, since it uses as much as digits as its factorization.

1007924416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235136 (or 235126 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 1007924416 is about 31747.8253743465. The cubic root of 1007924416 is about 1002.6345251819.

The spelling of 1007924416 in words is "one billion, seven million, nine hundred twenty-four thousand, four hundred sixteen".