87810848 has 96 divisors (see below), whose sum is σ = 195084288. Its totient is φ = 38707200.

The previous prime is 87810841. The next prime is 87810851. The reversal of 87810848 is 84801878.

It is a junction number, because it is equal to n+sod(n) for n = 87810799 and 87810808.

It is not an unprimeable number, because it can be changed into a prime (87810841) 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, 691361 + ... + 691487.

It is an arithmetic number, because the mean of its divisors is an integer number (2032128).

Almost surely, 2^87810848 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 87810848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97542144).

87810848 is an abundant number, since it is smaller than the sum of its proper divisors (107273440).

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

87810848 is a wasteful number, since it uses less digits than its factorization.

87810848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 44.

The square root of 87810848 is about 9370.7442607298. The cubic root of 87810848 is about 444.4770998969.

The spelling of 87810848 in words is "eighty-seven million, eight hundred ten thousand, eight hundred forty-eight".