95506164 has 144 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 27336960.

The previous prime is 95506157. The next prime is 95506171. The reversal of 95506164 is 46160559.

95506164 is a `hidden beast` number, since 95 + 506 + 1 + 64 = 666.

95506164 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (95506157) and next prime (95506171).

It is a Harshad number since it is a multiple of its sum of digits (36).

95506164 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420619 + ... + 420845.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 2^95506164 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 95506164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

95506164 is an abundant number, since it is smaller than the sum of its proper divisors (183346956).

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

95506164 is a wasteful number, since it uses less digits than its factorization.

95506164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 95506164 is about 9772.7255154332. The cubic root of 95506164 is about 457.0992064534.

The spelling of 95506164 in words is "ninety-five million, five hundred six thousand, one hundred sixty-four".