87591348 has 72 divisors (see below), whose sum is σ = 245952000. Its totient is φ = 26945568.

The previous prime is 87591347. The next prime is 87591367. The reversal of 87591348 is 84319578.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87591347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15853 + ... + 20651.

It is an arithmetic number, because the mean of its divisors is an integer number (3416000).

Almost surely, 2^87591348 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 87591348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122976000).

87591348 is an abundant number, since it is smaller than the sum of its proper divisors (158360652).

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

87591348 is a wasteful number, since it uses less digits than its factorization.

87591348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4817 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 87591348 is about 9359.0249492135. The cubic root of 87591348 is about 444.1064390543.

It can be divided in two parts, 8 and 7591348, that added together give a triangular number (7591356 = T₃₈₉₆).

The spelling of 87591348 in words is "eighty-seven million, five hundred ninety-one thousand, three hundred forty-eight".