87250688 has 72 divisors (see below), whose sum is σ = 200884320. Its totient is φ = 37048320.

The previous prime is 87250687. The next prime is 87250697. The reversal of 87250688 is 88605278.

It is a super-2 number, since 2×87250688² = 15225365112946688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87250687) 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 7 ways as a sum of consecutive naturals, for example, 324218 + ... + 324486.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2^87250688 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 87250688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100442160).

87250688 is an abundant number, since it is smaller than the sum of its proper divisors (113633632).

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

87250688 is a wasteful number, since it uses less digits than its factorization.

87250688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 87250688 is about 9340.8076738578. The cubic root of 87250688 is about 443.5299519196.

The spelling of 87250688 in words is "eighty-seven million, two hundred fifty thousand, six hundred eighty-eight".