1016338960 has 120 divisors (see below), whose sum is σ = 2924544960. Its totient is φ = 321624576.

The previous prime is 1016338933. The next prime is 1016338979. The reversal of 1016338960 is 698336101.

It is a super-2 number, since 2×1016338960² = 2065889763227763200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89271 + ... + 100009.

It is an arithmetic number, because the mean of its divisors is an integer number (24371208).

Almost surely, 2^1016338960 is an apocalyptic number.

1016338960 is a gapful number since it is divisible by the number (10) 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 1016338960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462272480).

1016338960 is an abundant number, since it is smaller than the sum of its proper divisors (1908206000).

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

1016338960 is a wasteful number, since it uses less digits than its factorization.

1016338960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785 (or 10766 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 1016338960 is about 31880.0715181130. The cubic root of 1016338960 is about 1005.4169239518.

The spelling of 1016338960 in words is "one billion, sixteen million, three hundred thirty-eight thousand, nine hundred sixty".