87760544 has 72 divisors (see below), whose sum is σ = 186647328. Its totient is φ = 40602240.

The previous prime is 87760537. The next prime is 87760573. The reversal of 87760544 is 44506778.

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 11 ways as a sum of consecutive naturals, for example, 820139 + ... + 820245.

It is an arithmetic number, because the mean of its divisors is an integer number (2592324).

Almost surely, 2^87760544 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 87760544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93323664).

87760544 is an abundant number, since it is smaller than the sum of its proper divisors (98886784).

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

87760544 is a wasteful number, since it uses less digits than its factorization.

87760544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 87760544 is about 9368.0597777768. The cubic root of 87760544 is about 444.3922081571.

The spelling of 87760544 in words is "eighty-seven million, seven hundred sixty thousand, five hundred forty-four".