1007380206 has 32 divisors (see below), whose sum is σ = 2558426880. Its totient is φ = 287822808.

The previous prime is 1007380201. The next prime is 1007380267. The reversal of 1007380206 is 6020837001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1007380206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007380201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332136 + ... + 1332891.

It is an arithmetic number, because the mean of its divisors is an integer number (79950840).

Almost surely, 2^1007380206 is an apocalyptic number.

1007380206 is an abundant number, since it is smaller than the sum of its proper divisors (1551046674).

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

1007380206 is a wasteful number, since it uses less digits than its factorization.

1007380206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665045 (or 2665039 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1007380206 is about 31739.2533938655. The cubic root of 1007380206 is about 1002.4540414210.

The spelling of 1007380206 in words is "one billion, seven million, three hundred eighty thousand, two hundred six".