87965136 has 160 divisors (see below), whose sum is σ = 303948800. Its totient is φ = 23794560.

The previous prime is 87965093. The next prime is 87965161. The reversal of 87965136 is 63156978.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87965091 and 87965100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56691 + ... + 58221.

It is an arithmetic number, because the mean of its divisors is an integer number (1899680).

Almost surely, 2^87965136 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 87965136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151974400).

87965136 is an abundant number, since it is smaller than the sum of its proper divisors (215983664).

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

87965136 is a wasteful number, since it uses less digits than its factorization.

87965136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1562 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 87965136 is about 9378.9730781147. The cubic root of 87965136 is about 444.7372703232.

The spelling of 87965136 in words is "eighty-seven million, nine hundred sixty-five thousand, one hundred thirty-six".