87538420 has 48 divisors (see below), whose sum is σ = 190826496. Its totient is φ = 33696000.

The previous prime is 87538379. The next prime is 87538439. The reversal of 87538420 is 2483578.

It is a self number, because there is not a number n which added to its sum of digits gives 87538420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167760 + ... + 168280.

It is an arithmetic number, because the mean of its divisors is an integer number (3975552).

Almost surely, 2^87538420 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 87538420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95413248).

87538420 is an abundant number, since it is smaller than the sum of its proper divisors (103288076).

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

87538420 is a wasteful number, since it uses less digits than its factorization.

87538420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 830 counting only the distinct ones).

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

The square root of 87538420 is about 9356.1968769367. The cubic root of 87538420 is about 444.0169690238.

The spelling of 87538420 in words is "eighty-seven million, five hundred thirty-eight thousand, four hundred twenty".