87853752 has 96 divisors (see below), whose sum is σ = 280750080. Its totient is φ = 24287040.

The previous prime is 87853751. The next prime is 87853811. The reversal of 87853752 is 25735878.

It is a junction number, because it is equal to n+sod(n) for n = 87853698 and 87853707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87853751) 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, 12813 + ... + 18435.

It is an arithmetic number, because the mean of its divisors is an integer number (2924480).

Almost surely, 2^87853752 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 87853752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140375040).

87853752 is an abundant number, since it is smaller than the sum of its proper divisors (192896328).

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

87853752 is a wasteful number, since it uses less digits than its factorization.

87853752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673 (or 5666 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 87853752 is about 9373.0332336976. The cubic root of 87853752 is about 444.5494779722.

The spelling of 87853752 in words is "eighty-seven million, eight hundred fifty-three thousand, seven hundred fifty-two".