1007641206 has 72 divisors (see below), whose sum is σ = 2579083416. Its totient is φ = 281848320.

The previous prime is 1007641199. The next prime is 1007641273. The reversal of 1007641206 is 6021467001.

1007641206 is a `hidden beast` number, since 10 + 0 + 7 + 641 + 2 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1007641206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18406 + ... + 48518.

It is an arithmetic number, because the mean of its divisors is an integer number (35820603).

Almost surely, 2^1007641206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007641206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289541708).

1007641206 is an abundant number, since it is smaller than the sum of its proper divisors (1571442210).

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

1007641206 is a wasteful number, since it uses less digits than its factorization.

1007641206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30158 (or 30142 counting only the distinct ones).

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

The square root of 1007641206 is about 31743.3647554887. The cubic root of 1007641206 is about 1002.5406085088.

The spelling of 1007641206 in words is "one billion, seven million, six hundred forty-one thousand, two hundred six".