1007960064 has 60 divisors (see below), whose sum is σ = 2687942544. Its totient is φ = 335970304.

The previous prime is 1007960059. The next prime is 1007960099. The reversal of 1007960064 is 4600697001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38899 + ... + 59405.

Almost surely, 2^1007960064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343971272).

1007960064 is an abundant number, since it is smaller than the sum of its proper divisors (1679982480).

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

1007960064 is an frugal number, since it uses more digits than its factorization.

1007960064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20538 (or 20512 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1007960064 is about 31748.3867936624. The cubic root of 1007960064 is about 1002.6463453454.

The spelling of 1007960064 in words is "one billion, seven million, nine hundred sixty thousand, sixty-four".