95538144 has 96 divisors (see below), whose sum is σ = 277512480. Its totient is φ = 28588032.

The previous prime is 95538143. The next prime is 95538161. The reversal of 95538144 is 44183559.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95538143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45142 + ... + 47210.

It is an arithmetic number, because the mean of its divisors is an integer number (2890755).

Almost surely, 2^95538144 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 95538144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138756240).

95538144 is an abundant number, since it is smaller than the sum of its proper divisors (181974336).

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

95538144 is a wasteful number, since it uses less digits than its factorization.

95538144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2124 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 95538144 is about 9774.3615648287. The cubic root of 95538144 is about 457.1502202683.

The spelling of 95538144 in words is "ninety-five million, five hundred thirty-eight thousand, one hundred forty-four".