1001792064 has 168 divisors, whose sum is σ = 3320905728. Its totient is φ = 264176640.

The previous prime is 1001792059. The next prime is 1001792137. The reversal of 1001792064 is 4602971001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 118209 + ... + 126399.

It is an arithmetic number, because the mean of its divisors is an integer number (19767296).

Almost surely, 2^1001792064 is an apocalyptic number.

1001792064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660452864).

1001792064 is an abundant number, since it is smaller than the sum of its proper divisors (2319113664).

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

1001792064 is a wasteful number, since it uses less digits than its factorization.

1001792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1001792064 is about 31651.0989382675. The cubic root of 1001792064 is about 1000.5969981889.

The spelling of 1001792064 in words is "one billion, one million, seven hundred ninety-two thousand, sixty-four".