87153984 has 84 divisors (see below), whose sum is σ = 252959616. Its totient is φ = 28685568.

The previous prime is 87153967. The next prime is 87154009. The reversal of 87153984 is 48935178.

87153984 = 55³ + 56³ + ... + 137³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46897 + ... + 48719.

It is an arithmetic number, because the mean of its divisors is an integer number (3011424).

Almost surely, 2^87153984 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 87153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126479808).

87153984 is an abundant number, since it is smaller than the sum of its proper divisors (165805632).

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

87153984 is a wasteful number, since it uses less digits than its factorization.

87153984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1911 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 87153984 is about 9335.6298127122. The cubic root of 87153984 is about 443.3660297115.

The spelling of 87153984 in words is "eighty-seven million, one hundred fifty-three thousand, nine hundred eighty-four".