1087948800 has 288 divisors, whose sum is σ = 4001306400. Its totient is φ = 289751040.

The previous prime is 1087948789. The next prime is 1087948819. The reversal of 1087948800 is 88497801.

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

It is a super-4 number, since 4×1087948800⁴ (a number of 37 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382007 + ... + 1382793.

It is an arithmetic number, because the mean of its divisors is an integer number (13893425).

Almost surely, 2^1087948800 is an apocalyptic number.

1087948800 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 1087948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000653200).

1087948800 is an abundant number, since it is smaller than the sum of its proper divisors (2913357600).

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

1087948800 is an equidigital number, since it uses as much as digits as its factorization.

1087948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1087948800 is about 32984.0688818102. The cubic root of 1087948800 is about 1028.4965024787.

The spelling of 1087948800 in words is "one billion, eighty-seven million, nine hundred forty-eight thousand, eight hundred".