87824672 has 96 divisors (see below), whose sum is σ = 198640512. Its totient is φ = 37914624.

The previous prime is 87824647. The next prime is 87824687. The reversal of 87824672 is 27642878.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640988 + ... + 641124.

It is an arithmetic number, because the mean of its divisors is an integer number (2069172).

Almost surely, 2^87824672 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 87824672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99320256).

87824672 is an abundant number, since it is smaller than the sum of its proper divisors (110815840).

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

87824672 is a wasteful number, since it uses less digits than its factorization.

87824672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its digits is 301056, while the sum is 44.

The square root of 87824672 is about 9371.4818465385. The cubic root of 87824672 is about 444.5004232453.

The spelling of 87824672 in words is "eighty-seven million, eight hundred twenty-four thousand, six hundred seventy-two".