1088896032 has 288 divisors, whose sum is σ = 3684844800. Its totient is φ = 304819200.

The previous prime is 1088895991. The next prime is 1088896033. The reversal of 1088896032 is 2306988801.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1088896033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7211157 + ... + 7211307.

It is an arithmetic number, because the mean of its divisors is an integer number (12794600).

Almost surely, 2^1088896032 is an apocalyptic number.

1088896032 is a gapful number since it is divisible by the number (12) 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 1088896032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842422400).

1088896032 is an abundant number, since it is smaller than the sum of its proper divisors (2595948768).

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

1088896032 is a wasteful number, since it uses less digits than its factorization.

1088896032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1088896032 is about 32998.4246896727. The cubic root of 1088896032 is about 1028.7949056746.

It can be divided in two parts, 108889 and 6032, that added together give a square (114921 = 339²).

The spelling of 1088896032 in words is "one billion, eighty-eight million, eight hundred ninety-six thousand, thirty-two".