87291648 has 144 divisors (see below), whose sum is σ = 263185440. Its totient is φ = 28532736.

The previous prime is 87291641. The next prime is 87291661. The reversal of 87291648 is 84619278.

It is a Cunningham number, because it is equal to 9343²-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87291641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 504490 + ... + 504662.

Almost surely, 2^87291648 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 87291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131592720).

87291648 is an abundant number, since it is smaller than the sum of its proper divisors (175893792).

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

87291648 is a wasteful number, since it uses less digits than its factorization.

87291648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 87291648 is about 9342.9999464840. Note that the first 4 decimals coincide. The cubic root of 87291648 is about 443.5993463857.

The spelling of 87291648 in words is "eighty-seven million, two hundred ninety-one thousand, six hundred forty-eight".