1007364312 has 24 divisors (see below), whose sum is σ = 2728278540. Its totient is φ = 335788080.

The previous prime is 1007364283. The next prime is 1007364317. The reversal of 1007364312 is 2134637001.

1007364312 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 3 + 643 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007364317) 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 5 ways as a sum of consecutive naturals, for example, 6995514 + ... + 6995657.

Almost surely, 2^1007364312 is an apocalyptic number.

1007364312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007364312 is an abundant number, since it is smaller than the sum of its proper divisors (1720914228).

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

1007364312 is a wasteful number, since it uses less digits than its factorization.

1007364312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13991183 (or 13991176 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1007364312 is about 31739.0030089163. The cubic root of 1007364312 is about 1002.4487693009.

The spelling of 1007364312 in words is "one billion, seven million, three hundred sixty-four thousand, three hundred twelve".