87735164 has 36 divisors (see below), whose sum is σ = 178707312. Its totient is φ = 37530240.

The previous prime is 87735163. The next prime is 87735199. The reversal of 87735164 is 46153778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87735163) 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 11 ways as a sum of consecutive naturals, for example, 2897 + ... + 13559.

It is an arithmetic number, because the mean of its divisors is an integer number (4964092).

Almost surely, 2^87735164 is an apocalyptic number.

It is an amenable number.

87735164 is an abundant number, since it is smaller than the sum of its proper divisors (90972148).

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

87735164 is a wasteful number, since it uses less digits than its factorization.

87735164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10706 (or 10693 counting only the distinct ones).

The product of its digits is 141120, while the sum is 41.

The square root of 87735164 is about 9366.7050770268. The cubic root of 87735164 is about 444.3493652076.

The spelling of 87735164 in words is "eighty-seven million, seven hundred thirty-five thousand, one hundred sixty-four".