87532480 has 112 divisors (see below), whose sum is σ = 248716800. Its totient is φ = 28689408.

The previous prime is 87532453. The next prime is 87532481. The reversal of 87532480 is 8423578.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87532481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50671 + ... + 52369.

Almost surely, 2^87532480 is an apocalyptic number.

87532480 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 87532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124358400).

87532480 is an abundant number, since it is smaller than the sum of its proper divisors (161184320).

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

87532480 is a wasteful number, since it uses less digits than its factorization.

87532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 87532480 is about 9355.8794348794. The cubic root of 87532480 is about 444.0069257367.

The spelling of 87532480 in words is "eighty-seven million, five hundred thirty-two thousand, four hundred eighty".