87964129224 has 40 divisors (see below), whose sum is σ = 246381011910. Its totient is φ = 29321376192.

The previous prime is 87964129193. The next prime is 87964129237. The reversal of 87964129224 is 42292146978.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 60235884900 + 27728244324 = 245430^2 + 166518^2 .

It is a super-3 number, since 3×87964129224³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 67872909 + ... + 67874204.

Almost surely, 2^87964129224 is an apocalyptic number.

It is an amenable number.

87964129224 is an abundant number, since it is smaller than the sum of its proper divisors (158416882686).

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

87964129224 is a wasteful number, since it uses less digits than its factorization.

87964129224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135747131 (or 135747118 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 87964129224 in words is "eighty-seven billion, nine hundred sixty-four million, one hundred twenty-nine thousand, two hundred twenty-four".