1007006624 has 24 divisors (see below), whose sum is σ = 2135048580. Its totient is φ = 464772096.

The previous prime is 1007006599. The next prime is 1007006633. The reversal of 1007006624 is 4266007001.

It can be written as a sum of positive squares in 2 ways, for example, as 937584400 + 69422224 = 30620^2 + 8332^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1007006593 and 1007006602.

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, 1209929 + ... + 1210760.

Almost surely, 2^1007006624 is an apocalyptic number.

It is an amenable number.

1007006624 is an abundant number, since it is smaller than the sum of its proper divisors (1128041956).

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

1007006624 is a wasteful number, since it uses less digits than its factorization.

1007006624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420712 (or 2420704 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 1007006624 is about 31733.3676750514. The cubic root of 1007006624 is about 1002.3301077143.

The spelling of 1007006624 in words is "one billion, seven million, six thousand, six hundred twenty-four".