1081896816 has 480 divisors, whose sum is σ = 3989744640. Its totient is φ = 245329920.

The previous prime is 1081896787. The next prime is 1081896817. The reversal of 1081896816 is 6186981801.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081896817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12156100 + ... + 12156188.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2^1081896816 is an apocalyptic number.

1081896816 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 1081896816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994872320).

1081896816 is an abundant number, since it is smaller than the sum of its proper divisors (2907847824).

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

1081896816 is a wasteful number, since it uses less digits than its factorization.

1081896816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The square root of 1081896816 is about 32892.1999264263. The cubic root of 1081896816 is about 1026.5858666570.

The spelling of 1081896816 in words is "one billion, eighty-one million, eight hundred ninety-six thousand, eight hundred sixteen".