87001152 has 112 divisors (see below), whose sum is σ = 277002240. Its totient is φ = 23542272.

The previous prime is 87001151. The next prime is 87001177. The reversal of 87001152 is 25110078.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (87001151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23833 + ... + 27239.

Almost surely, 2^87001152 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 87001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138501120).

87001152 is an abundant number, since it is smaller than the sum of its proper divisors (190001088).

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

87001152 is a wasteful number, since it uses less digits than its factorization.

87001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 87001152 is about 9327.4408065664. The cubic root of 87001152 is about 443.1067179335.

It can be divided in two parts, 87001 and 152, that added together give a triangular number (87153 = T₄₁₇).

The spelling of 87001152 in words is "eighty-seven million, one thousand, one hundred fifty-two".