87852408 has 64 divisors (see below), whose sum is σ = 253493760. Its totient is φ = 24852096.

The previous prime is 87852407. The next prime is 87852421. The reversal of 87852408 is 80425878.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 87852408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87852403) 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, 14766 + ... + 19842.

It is an arithmetic number, because the mean of its divisors is an integer number (3960840).

Almost surely, 2^87852408 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 87852408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126746880).

87852408 is an abundant number, since it is smaller than the sum of its proper divisors (165641352).

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

87852408 is a wasteful number, since it uses less digits than its factorization.

87852408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 87852408 is about 9372.9615383826. The cubic root of 87852408 is about 444.5472110323.

The spelling of 87852408 in words is "eighty-seven million, eight hundred fifty-two thousand, four hundred eight".