1016932896 has 288 divisors, whose sum is σ = 3522355200. Its totient is φ = 271848960.

The previous prime is 1016932871. The next prime is 1016932919. The reversal of 1016932896 is 6982396101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5324161 + ... + 5324351.

It is an arithmetic number, because the mean of its divisors is an integer number (12230400).

Almost surely, 2^1016932896 is an apocalyptic number.

1016932896 is a gapful number since it is divisible by the number (16) 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 1016932896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761177600).

1016932896 is an abundant number, since it is smaller than the sum of its proper divisors (2505422304).

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

1016932896 is a wasteful number, since it uses less digits than its factorization.

1016932896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1016932896 is about 31889.3853186291. The cubic root of 1016932896 is about 1005.6127369120.

The spelling of 1016932896 in words is "one billion, sixteen million, nine hundred thirty-two thousand, eight hundred ninety-six".