1088455680 has 528 divisors, whose sum is σ = 4291822080. Its totient is φ = 253034496.

The previous prime is 1088455649. The next prime is 1088455691. The reversal of 1088455680 is 865548801.

1088455680 is a `hidden beast` number, since 1 + 0 + 8 + 84 + 5 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13777881 + ... + 13777959.

Almost surely, 2^1088455680 is an apocalyptic number.

1088455680 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 1088455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145911040).

1088455680 is an abundant number, since it is smaller than the sum of its proper divisors (3203366400).

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

1088455680 is a wasteful number, since it uses less digits than its factorization.

1088455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 1088455680 is about 32991.7516964468. The cubic root of 1088455680 is about 1028.6562046527.

It can be divided in two parts, 10884 and 55680, that added together give a square (66564 = 258²).

The spelling of 1088455680 in words is "one billion, eighty-eight million, four hundred fifty-five thousand, six hundred eighty".