87973248 has 128 divisors (see below), whose sum is σ = 259977600. Its totient is φ = 26132480.

The previous prime is 87973247. The next prime is 87973253. The reversal of 87973248 is 84237978.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 87973197 and 87973206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87973243) 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, 249040 + ... + 249392.

It is an arithmetic number, because the mean of its divisors is an integer number (2031075).

Almost surely, 2^87973248 is an apocalyptic number.

87973248 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 87973248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129988800).

87973248 is an abundant number, since it is smaller than the sum of its proper divisors (172004352).

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

87973248 is a wasteful number, since it uses less digits than its factorization.

87973248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 87973248 is about 9379.4055248720. The cubic root of 87973248 is about 444.7509408826.

The spelling of 87973248 in words is "eighty-seven million, nine hundred seventy-three thousand, two hundred forty-eight".