1088131968 has 640 divisors, whose sum is σ = 4265395200. Its totient is φ = 267079680.

The previous prime is 1088131943. The next prime is 1088131987. The reversal of 1088131968 is 8691318801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23151721 + ... + 23151767.

It is an arithmetic number, because the mean of its divisors is an integer number (6664680).

It is a vampire number, since it can be written as 11088 ⋅ 98136 (with its own digits).

Almost surely, 2^1088131968 is an apocalyptic number.

1088131968 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 1088131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132697600).

1088131968 is an abundant number, since it is smaller than the sum of its proper divisors (3177263232).

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

1088131968 is a wasteful number, since it uses less digits than its factorization.

1088131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1088131968 is about 32986.8453781200. The cubic root of 1088131968 is about 1028.5542187597.

It can be divided in two parts, 10881 and 31968, that added together give a square (42849 = 207²).

The spelling of 1088131968 in words is "one billion, eighty-eight million, one hundred thirty-one thousand, nine hundred sixty-eight".