87127488 has 210 divisors, whose sum is σ = 301316136. Its totient is φ = 24893568.

The previous prime is 87127487. The next prime is 87127517. The reversal of 87127488 is 88472178.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87127487) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12446781 + ... + 12446787.

Almost surely, 2^87127488 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 87127488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150658068).

87127488 is an abundant number, since it is smaller than the sum of its proper divisors (214188648).

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

87127488 is an frugal number, since it uses more digits than its factorization.

87127488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 12 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 87127488 is about 9334.2106254359. The cubic root of 87127488 is about 443.3210953839.

The spelling of 87127488 in words is "eighty-seven million, one hundred twenty-seven thousand, four hundred eighty-eight".