1087527168 has 648 divisors, whose sum is σ = 4264192800. Its totient is φ = 271724544.

The previous prime is 1087527167. The next prime is 1087527169. The reversal of 1087527168 is 8617257801.

It is a happy number.

1087527168 is a `hidden beast` number, since 108 + 7 + 527 + 16 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1087527167) and next prime (1087527169).

It is a super-2 number, since 2×1087527168² = 2365430682276200448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1087527167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57238263 + ... + 57238281.

Almost surely, 2^1087527168 is an apocalyptic number.

1087527168 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 1087527168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132096400).

1087527168 is an abundant number, since it is smaller than the sum of its proper divisors (3176665632).

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

1087527168 is a wasteful number, since it uses less digits than its factorization.

1087527168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 1087527168 is about 32977.6768132626. The cubic root of 1087527168 is about 1028.3636215107.

It can be divided in two parts, 108 and 7527168, that multiplied together give a square (812934144 = 28512²).

The spelling of 1087527168 in words is "one billion, eighty-seven million, five hundred twenty-seven thousand, one hundred sixty-eight".