87284064 has 48 divisors (see below), whose sum is σ = 261854208. Its totient is φ = 24938112.

The previous prime is 87284059. The next prime is 87284083. The reversal of 87284064 is 46048278.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64272 + ... + 65615.

It is an arithmetic number, because the mean of its divisors is an integer number (5455296).

Almost surely, 2^87284064 is an apocalyptic number.

87284064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87284064 is an abundant number, since it is smaller than the sum of its proper divisors (174570144).

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

87284064 is a wasteful number, since it uses less digits than its factorization.

87284064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129907 (or 129899 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 87284064 is about 9342.5940723120. The cubic root of 87284064 is about 443.5864992044.

The spelling of 87284064 in words is "eighty-seven million, two hundred eighty-four thousand, sixty-four".