87540288 has 112 divisors (see below), whose sum is σ = 255178560. Its totient is φ = 26265600.

The previous prime is 87540253. The next prime is 87540301. The reversal of 87540288 is 88204578.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382158 + ... + 382386.

It is an arithmetic number, because the mean of its divisors is an integer number (2278380).

Almost surely, 2^87540288 is an apocalyptic number.

87540288 is a gapful number since it is divisible by the number (88) 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 87540288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127589280).

87540288 is an abundant number, since it is smaller than the sum of its proper divisors (167638272).

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

87540288 is a wasteful number, since it uses less digits than its factorization.

87540288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 87540288 is about 9356.2967032902. The cubic root of 87540288 is about 444.0201273239.

The spelling of 87540288 in words is "eighty-seven million, five hundred forty thousand, two hundred eighty-eight".