87853696 has 64 divisors (see below), whose sum is σ = 202988160. Its totient is φ = 37094400.

The previous prime is 87853691. The next prime is 87853729. The reversal of 87853696 is 69635878.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (87853691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62926 + ... + 64306.

It is an arithmetic number, because the mean of its divisors is an integer number (3171690).

Almost surely, 2^87853696 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 87853696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101494080).

87853696 is an abundant number, since it is smaller than the sum of its proper divisors (115134464).

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

87853696 is a wasteful number, since it uses less digits than its factorization.

87853696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1461 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 87853696 is about 9373.0302464038. The cubic root of 87853696 is about 444.5493835169.

The spelling of 87853696 in words is "eighty-seven million, eight hundred fifty-three thousand, six hundred ninety-six".