87048576 has 192 divisors, whose sum is σ = 272890800. Its totient is φ = 26542080.

The previous prime is 87048571. The next prime is 87048581. The reversal of 87048576 is 67584078.

87048576 is a `hidden beast` number, since 8 + 70 + 4 + 8 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (87048571) and next prime (87048581).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87048571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897360 + ... + 897456.

Almost surely, 2^87048576 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 87048576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136445400).

87048576 is an abundant number, since it is smaller than the sum of its proper divisors (185842224).

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

87048576 is a wasteful number, since it uses less digits than its factorization.

87048576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 87048576 is about 9329.9826366398. The cubic root of 87048576 is about 443.1872152429.

The spelling of 87048576 in words is "eighty-seven million, forty-eight thousand, five hundred seventy-six".