1088640000 has 660 divisors, whose sum is σ = 4655434784. Its totient is φ = 248832000.

The previous prime is 1088639969. The next prime is 1088640029. The reversal of 1088640000 is 468801.

1088640000 is a `hidden beast` number, since 10 + 8 + 8 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 155519997 + ... + 155520003.

Almost surely, 2^1088640000 is an apocalyptic number.

1088640000 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 1088640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327717392).

1088640000 is an abundant number, since it is smaller than the sum of its proper divisors (3566794784).

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

1088640000 is an frugal number, since it uses more digits than its factorization.

1088640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1088640000 is about 32994.5450036820. The cubic root of 1088640000 is about 1028.7142658776.

The spelling of 1088640000 in words is "one billion, eighty-eight million, six hundred forty thousand".