1007340705 has 96 divisors (see below), whose sum is σ = 2095801344. Its totient is φ = 454631616.

The previous prime is 1007340703. The next prime is 1007340743. The reversal of 1007340705 is 5070437001.

It is not a de Polignac number, because 1007340705 - 2¹ = 1007340703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1007340703) 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 95 ways as a sum of consecutive naturals, for example, 705202 + ... + 706628.

It is an arithmetic number, because the mean of its divisors is an integer number (21831264).

Almost surely, 2^1007340705 is an apocalyptic number.

1007340705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1007340705 is an abundant number, since it is smaller than the sum of its proper divisors (1088460639).

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

1007340705 is an equidigital number, since it uses as much as digits as its factorization.

1007340705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 1007340705 is about 31738.6311141486. The cubic root of 1007340705 is about 1002.4409386374.

Adding to 1007340705 its reverse (5070437001), we get a palindrome (6077777706).

The spelling of 1007340705 in words is "one billion, seven million, three hundred forty thousand, seven hundred five".