87521280 has 384 divisors, whose sum is σ = 358525440. Its totient is φ = 17694720.

The previous prime is 87521251. The next prime is 87521293. The reversal of 87521280 is 8212578.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2365422 + ... + 2365458.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^87521280 is an apocalyptic number.

87521280 is a gapful number since it is divisible by the number (80) 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 87521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

87521280 is an abundant number, since it is smaller than the sum of its proper divisors (271004160).

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

87521280 is a wasteful number, since it uses less digits than its factorization.

87521280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 87521280 is about 9355.2808616310. The cubic root of 87521280 is about 443.9879876630.

It can be divided in two parts, 875 and 21280, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 87521280 in words is "eighty-seven million, five hundred twenty-one thousand, two hundred eighty".