87654144 has 72 divisors (see below), whose sum is σ = 245607040. Its totient is φ = 27675648.

The previous prime is 87654139. The next prime is 87654169. The reversal of 87654144 is 44145678.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11589 + ... + 17595.

Almost surely, 2^87654144 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 87654144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122803520).

87654144 is an abundant number, since it is smaller than the sum of its proper divisors (157952896).

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

87654144 is a wasteful number, since it uses less digits than its factorization.

87654144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6031 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 87654144 is about 9362.3791848013. The cubic root of 87654144 is about 444.2125433165.

The spelling of 87654144 in words is "eighty-seven million, six hundred fifty-four thousand, one hundred forty-four".