87873408 has 192 divisors, whose sum is σ = 306465120. Its totient is φ = 23592960.

The previous prime is 87873407. The next prime is 87873419. The reversal of 87873408 is 80437878.

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 (87873407) 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 23 ways as a sum of consecutive naturals, for example, 136768 + ... + 137408.

Almost surely, 2^87873408 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 87873408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153232560).

87873408 is an abundant number, since it is smaller than the sum of its proper divisors (218591712).

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

87873408 is a wasteful number, since it uses less digits than its factorization.

87873408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 87873408 is about 9374.0817150268. The cubic root of 87873408 is about 444.5826293280.

The spelling of 87873408 in words is "eighty-seven million, eight hundred seventy-three thousand, four hundred eight".