1088254800 has 360 divisors, whose sum is σ = 3960480888. Its totient is φ = 276480000.

The previous prime is 1088254771. The next prime is 1088254819. The reversal of 1088254800 is 84528801.

1088254800 is a `hidden beast` number, since 108 + 8 + 2 + 548 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 240746256 + 847508544 = 15516^2 + 29112^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10774750 + ... + 10774850.

Almost surely, 2^1088254800 is an apocalyptic number.

1088254800 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 1088254800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980240444).

1088254800 is an abundant number, since it is smaller than the sum of its proper divisors (2872226088).

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

1088254800 is a wasteful number, since it uses less digits than its factorization.

1088254800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1088254800 is about 32988.7071586626. The cubic root of 1088254800 is about 1028.5929195245.

The spelling of 1088254800 in words is "one billion, eighty-eight million, two hundred fifty-four thousand, eight hundred".