87106752 has 98 divisors (see below), whose sum is σ = 259298948. Its totient is φ = 29020032.

The previous prime is 87106751. The next prime is 87106771. The reversal of 87106752 is 25760178.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87106751) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45723 + ... + 47589.

Almost surely, 2^87106752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129649474).

87106752 is an abundant number, since it is smaller than the sum of its proper divisors (172192196).

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

87106752 is an equidigital number, since it uses as much as digits as its factorization.

87106752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 87106752 is about 9333.0998066023. The cubic root of 87106752 is about 443.2859230336.

The spelling of 87106752 in words is "eighty-seven million, one hundred six thousand, seven hundred fifty-two".