1087564800 has 594 divisors, whose sum is σ = 4441736172. Its totient is φ = 233963520.

The previous prime is 1087564789. The next prime is 1087564813. The reversal of 1087564800 is 84657801.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 63974392 + ... + 63974408.

Almost surely, 2^1087564800 is an apocalyptic number.

1087564800 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 1087564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220868086).

1087564800 is an abundant number, since it is smaller than the sum of its proper divisors (3354171372).

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

1087564800 is a wasteful number, since it uses less digits than its factorization.

1087564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 1087564800 is about 32978.2473761114. The cubic root of 1087564800 is about 1028.3754829564.

The spelling of 1087564800 in words is "one billion, eighty-seven million, five hundred sixty-four thousand, eight hundred".