87416544 has 48 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 28924800.

The previous prime is 87416543. The next prime is 87416561. The reversal of 87416544 is 44561478.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87416543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10069 + ... + 16619.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2^87416544 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 87416544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

87416544 is an abundant number, since it is smaller than the sum of its proper divisors (143738016).

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

87416544 is a wasteful number, since it uses less digits than its factorization.

87416544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703 (or 6695 counting only the distinct ones).

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

The square root of 87416544 is about 9349.6814919012. The cubic root of 87416544 is about 443.8108113711.

The spelling of 87416544 in words is "eighty-seven million, four hundred sixteen thousand, five hundred forty-four".