87853248 has 196 divisors, whose sum is σ = 299831760. Its totient is φ = 25007616.

The previous prime is 87853247. The next prime is 87853253. The reversal of 87853248 is 84235878.

87853248 is a `hidden beast` number, since 8 + 78 + 532 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (87853247) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326458 + ... + 326726.

Almost surely, 2^87853248 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 87853248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149915880).

87853248 is an abundant number, since it is smaller than the sum of its proper divisors (211978512).

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

87853248 is an equidigital number, since it uses as much as digits as its factorization.

87853248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 87853248 is about 9373.0063480188. The cubic root of 87853248 is about 444.5486278725.

The spelling of 87853248 in words is "eighty-seven million, eight hundred fifty-three thousand, two hundred forty-eight".