87853840 has 80 divisors (see below), whose sum is σ = 210361536. Its totient is φ = 34112000.

The previous prime is 87853837. The next prime is 87853849. The reversal of 87853840 is 4835878.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (87853849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670575 + ... + 670705.

Almost surely, 2^87853840 is an apocalyptic number.

87853840 is a gapful number since it is divisible by the number (80) 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 87853840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105180768).

87853840 is an abundant number, since it is smaller than the sum of its proper divisors (122507696).

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

87853840 is a wasteful number, since it uses less digits than its factorization.

87853840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 87853840 is about 9373.0379280146. The cubic root of 87853840 is about 444.5496264020.

The spelling of 87853840 in words is "eighty-seven million, eight hundred fifty-three thousand, eight hundred forty".