1011164896 has 96 divisors (see below), whose sum is σ = 2428538112. Its totient is φ = 404551680.

The previous prime is 1011164881. The next prime is 1011164927. The reversal of 1011164896 is 6984611101.

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 15 ways as a sum of consecutive naturals, for example, 497835 + ... + 499861.

It is an arithmetic number, because the mean of its divisors is an integer number (25297272).

Almost surely, 2^1011164896 is an apocalyptic number.

1011164896 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 1011164896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214269056).

1011164896 is an abundant number, since it is smaller than the sum of its proper divisors (1417373216).

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

1011164896 is a wasteful number, since it uses less digits than its factorization.

1011164896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 1011164896 is about 31798.8190975703. The cubic root of 1011164896 is about 1003.7078667320.

Adding to 1011164896 its reverse (6984611101), we get a palindrome (7995775997).

The spelling of 1011164896 in words is "one billion, eleven million, one hundred sixty-four thousand, eight hundred ninety-six".