87325056 has 384 divisors, whose sum is σ = 334152000. Its totient is φ = 21676032.

The previous prime is 87325019. The next prime is 87325057. The reversal of 87325056 is 65052378.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 87325056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87325057) 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 47 ways as a sum of consecutive naturals, for example, 5136760 + ... + 5136776.

Almost surely, 2^87325056 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 87325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167076000).

87325056 is an abundant number, since it is smaller than the sum of its proper divisors (246826944).

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

87325056 is a wasteful number, since it uses less digits than its factorization.

87325056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 87325056 is about 9344.7876380365. The cubic root of 87325056 is about 443.6559301754.

The spelling of 87325056 in words is "eighty-seven million, three hundred twenty-five thousand, fifty-six".