1046642688 has 384 divisors, whose sum is σ = 3837729600. Its totient is φ = 276037632.

The previous prime is 1046642659. The next prime is 1046642777. The reversal of 1046642688 is 8862466401.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80510970 + ... + 80510982.

Almost surely, 2^1046642688 is an apocalyptic number.

1046642688 is a gapful number since it is divisible by the number (18) 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 1046642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918864800).

1046642688 is an abundant number, since it is smaller than the sum of its proper divisors (2791086912).

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

1046642688 is an frugal number, since it uses more digits than its factorization.

1046642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 1046642688 is about 32351.8575664520. The cubic root of 1046642688 is about 1015.3119113868.

The spelling of 1046642688 in words is "one billion, forty-six million, six hundred forty-two thousand, six hundred eighty-eight".