87089436 has 144 divisors (see below), whose sum is σ = 275970240. Its totient is φ = 22579200.

The previous prime is 87089423. The next prime is 87089459. The reversal of 87089436 is 63498078.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87089391 and 87089400.

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 47 ways as a sum of consecutive naturals, for example, 123886 + ... + 124586.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^87089436 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 87089436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

87089436 is an abundant number, since it is smaller than the sum of its proper divisors (188880804).

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

87089436 is a wasteful number, since it uses less digits than its factorization.

87089436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 87089436 is about 9332.1720944269. The cubic root of 87089436 is about 443.2565474013.

The spelling of 87089436 in words is "eighty-seven million, eighty-nine thousand, four hundred thirty-six".