95948544 has 72 divisors (see below), whose sum is σ = 270421200. Its totient is φ = 30097408.

The previous prime is 95948543. The next prime is 95948549. The reversal of 95948544 is 44584959.

It is a super-2 number, since 2×95948544² = 18412246191439872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 95948493 and 95948502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95948543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9382 + ... + 16730.

It is an arithmetic number, because the mean of its divisors is an integer number (3755850).

Almost surely, 2^95948544 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 95948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135210600).

95948544 is an abundant number, since it is smaller than the sum of its proper divisors (174472656).

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

95948544 is a wasteful number, since it uses less digits than its factorization.

95948544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7385 (or 7371 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 95948544 is about 9795.3327661698. The cubic root of 95948544 is about 457.8038734893.

The spelling of 95948544 in words is "ninety-five million, nine hundred forty-eight thousand, five hundred forty-four".