87029152 has 96 divisors (see below), whose sum is σ = 205922304. Its totient is φ = 35424000.

The previous prime is 87029081. The next prime is 87029153. The reversal of 87029152 is 25192078.

It is not an unprimeable number, because it can be changed into a prime (87029153) 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, 576277 + ... + 576427.

It is an arithmetic number, because the mean of its divisors is an integer number (2145024).

Almost surely, 2^87029152 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 87029152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102961152).

87029152 is an abundant number, since it is smaller than the sum of its proper divisors (118893152).

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

87029152 is a wasteful number, since it uses less digits than its factorization.

87029152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 87029152 is about 9328.9416334330. The cubic root of 87029152 is about 443.1542485583.

The spelling of 87029152 in words is "eighty-seven million, twenty-nine thousand, one hundred fifty-two".