87639224064 has 144 divisors (see below), whose sum is σ = 275168839680. Its totient is φ = 24231997440.

The previous prime is 87639224063. The next prime is 87639224069. The reversal of 87639224064 is 46042293678.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87639223998 and 87639224016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87639224063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96279 + ... + 429590.

It is an arithmetic number, because the mean of its divisors is an integer number (1910894720).

Almost surely, 2^87639224064 is an apocalyptic number.

87639224064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87639224064 is an abundant number, since it is smaller than the sum of its proper divisors (187529615616).

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

87639224064 is a wasteful number, since it uses less digits than its factorization.

87639224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525926 (or 525912 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 87639224064 in words is "eighty-seven billion, six hundred thirty-nine million, two hundred twenty-four thousand, sixty-four".