1007705946 has 64 divisors (see below), whose sum is σ = 2317658112. Its totient is φ = 289662912.

The previous prime is 1007705927. The next prime is 1007705947. The reversal of 1007705946 is 6495077001.

1007705946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1007705947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70611 + ... + 83673.

It is an arithmetic number, because the mean of its divisors is an integer number (36213408).

Almost surely, 2^1007705946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007705946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158829056).

1007705946 is an abundant number, since it is smaller than the sum of its proper divisors (1309952166).

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

1007705946 is a wasteful number, since it uses less digits than its factorization.

1007705946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13147.

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 1007705946 is about 31744.3844797785. The cubic root of 1007705946 is about 1002.5620788128.

The spelling of 1007705946 in words is "one billion, seven million, seven hundred five thousand, nine hundred forty-six".