1087668288 has 252 divisors, whose sum is σ = 3675819420. Its totient is φ = 306561024.

The previous prime is 1087668269. The next prime is 1087668299. The reversal of 1087668288 is 8828667801.

It can be written as a sum of positive squares in 2 ways, for example, as 163021824 + 924646464 = 12768^2 + 30408^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2511720 + ... + 2512152.

It is an arithmetic number, because the mean of its divisors is an integer number (14586585).

Almost surely, 2^1087668288 is an apocalyptic number.

1087668288 is a gapful number since it is divisible by the number (18) 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 1087668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837909710).

1087668288 is an abundant number, since it is smaller than the sum of its proper divisors (2588151132).

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

1087668288 is a wasteful number, since it uses less digits than its factorization.

1087668288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 1087668288 is about 32979.8163730485. The cubic root of 1087668288 is about 1028.4081005213.

The spelling of 1087668288 in words is "one billion, eighty-seven million, six hundred sixty-eight thousand, two hundred eighty-eight".