87948608 has 84 divisors (see below), whose sum is σ = 197219316. Its totient is φ = 38860800.

The previous prime is 87948577. The next prime is 87948611. The reversal of 87948608 is 80684978.

It can be written as a sum of positive squares in 2 ways, for example, as 8952064 + 78996544 = 2992^2 + 8888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317366 + ... + 317642.

It is an arithmetic number, because the mean of its divisors is an integer number (2347849).

Almost surely, 2^87948608 is an apocalyptic number.

87948608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98609658).

87948608 is an abundant number, since it is smaller than the sum of its proper divisors (109270708).

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

87948608 is a wasteful number, since it uses less digits than its factorization.

87948608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 87948608 is about 9378.0919168027. The cubic root of 87948608 is about 444.7094142946.

The spelling of 87948608 in words is "eighty-seven million, nine hundred forty-eight thousand, six hundred eight".