87153696 has 144 divisors (see below), whose sum is σ = 300029184. Its totient is φ = 23427072.

The previous prime is 87153673. The next prime is 87153697. The reversal of 87153696 is 69635178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87153697) 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 23 ways as a sum of consecutive naturals, for example, 33001 + ... + 35543.

It is an arithmetic number, because the mean of its divisors is an integer number (2083536).

Almost surely, 2^87153696 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 87153696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150014592).

87153696 is an abundant number, since it is smaller than the sum of its proper divisors (212875488).

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

87153696 is a wasteful number, since it uses less digits than its factorization.

87153696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2572 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 87153696 is about 9335.6143879233. The cubic root of 87153696 is about 443.3655413438.

The spelling of 87153696 in words is "eighty-seven million, one hundred fifty-three thousand, six hundred ninety-six".