1007364004 has 36 divisors (see below), whose sum is σ = 1827506772. Its totient is φ = 485696640.

The previous prime is 1007363993. The next prime is 1007364037. The reversal of 1007364004 is 4004637001.

It can be written as a sum of positive squares in 6 ways, for example, as 159971904 + 847392100 = 12648^2 + 29110^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1007364004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 788214 + ... + 789490.

It is an arithmetic number, because the mean of its divisors is an integer number (50764077).

Almost surely, 2^1007364004 is an apocalyptic number.

It is an amenable number.

1007364004 is a deficient number, since it is larger than the sum of its proper divisors (820142768).

1007364004 is a wasteful number, since it uses less digits than its factorization.

1007364004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 1007364004 is about 31738.9981568417. The cubic root of 1007364004 is about 1002.4486671352.

The spelling of 1007364004 in words is "one billion, seven million, three hundred sixty-four thousand, four".