87030144 has 96 divisors (see below), whose sum is σ = 258623040. Its totient is φ = 28062720.

The previous prime is 87030143. The next prime is 87030169. The reversal of 87030144 is 44103078.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87030143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34494 + ... + 36930.

It is an arithmetic number, because the mean of its divisors is an integer number (2693990).

Almost surely, 2^87030144 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 87030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129311520).

87030144 is an abundant number, since it is smaller than the sum of its proper divisors (171592896).

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

87030144 is a wasteful number, since it uses less digits than its factorization.

87030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 87030144 is about 9328.9948011562. The cubic root of 87030144 is about 443.1559323134.

The spelling of 87030144 in words is "eighty-seven million, thirty thousand, one hundred forty-four".