87435680 has 48 divisors (see below), whose sum is σ = 207404064. Its totient is φ = 34832640.

The previous prime is 87435653. The next prime is 87435721. The reversal of 87435680 is 8653478.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 44315 + ... + 46245.

It is an arithmetic number, because the mean of its divisors is an integer number (4320918).

Almost surely, 2^87435680 is an apocalyptic number.

87435680 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 87435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103702032).

87435680 is an abundant number, since it is smaller than the sum of its proper divisors (119968384).

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

87435680 is a wasteful number, since it uses less digits than its factorization.

87435680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 87435680 is about 9350.7047862715. The cubic root of 87435680 is about 443.8431932814.

The spelling of 87435680 in words is "eighty-seven million, four hundred thirty-five thousand, six hundred eighty".