87535488 has 128 divisors (see below), whose sum is σ = 245118240. Its totient is φ = 27648000.

The previous prime is 87535463. The next prime is 87535501. The reversal of 87535488 is 88453578.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 866638 + ... + 866738.

Almost surely, 2^87535488 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 87535488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122559120).

87535488 is an abundant number, since it is smaller than the sum of its proper divisors (157582752).

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

87535488 is a wasteful number, since it uses less digits than its factorization.

87535488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The square root of 87535488 is about 9356.0401880283. The cubic root of 87535488 is about 444.0120116871.

It can be divided in two parts, 8753 and 5488, that added together give a palindrome (14241).

The spelling of 87535488 in words is "eighty-seven million, five hundred thirty-five thousand, four hundred eighty-eight".