87129364 has 48 divisors (see below), whose sum is σ = 184576000. Its totient is φ = 35155296.

The previous prime is 87129353. The next prime is 87129373. The reversal of 87129364 is 46392178.

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 15 ways as a sum of consecutive naturals, for example, 105457 + ... + 106279.

Almost surely, 2^87129364 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 87129364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92288000).

87129364 is an abundant number, since it is smaller than the sum of its proper divisors (97446636).

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

87129364 is a wasteful number, since it uses less digits than its factorization.

87129364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1050 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 87129364 is about 9334.3111154493. The cubic root of 87129364 is about 443.3242771751.

The spelling of 87129364 in words is "eighty-seven million, one hundred twenty-nine thousand, three hundred sixty-four".