87527088 has 160 divisors (see below), whose sum is σ = 278196480. Its totient is φ = 26127360.

The previous prime is 87527081. The next prime is 87527093. The reversal of 87527088 is 88072578.

It is a happy number.

It is a super-2 number, since 2×87527088² = 15321982267519488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87527081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536895 + ... + 537057.

It is an arithmetic number, because the mean of its divisors is an integer number (1738728).

Almost surely, 2^87527088 is an apocalyptic number.

87527088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87527088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139098240).

87527088 is an abundant number, since it is smaller than the sum of its proper divisors (190669392).

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

87527088 is a wasteful number, since it uses less digits than its factorization.

87527088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 87527088 is about 9355.5912693961. The cubic root of 87527088 is about 443.9978086086.

Subtracting 87527088 from its reverse (88072578), we obtain a triangular number (545490 = T₁₀₄₄).

The spelling of 87527088 in words is "eighty-seven million, five hundred twenty-seven thousand, eighty-eight".