95932224 has 168 divisors, whose sum is σ = 297061128. Its totient is φ = 29491200.

The previous prime is 95932223. The next prime is 95932229. The reversal of 95932224 is 42223959.

It can be written as a sum of positive squares in 4 ways, for example, as 50126400 + 45805824 = 7080^2 + 6768^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95932223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949774 + ... + 949874.

It is an arithmetic number, because the mean of its divisors is an integer number (1768221).

Almost surely, 2^95932224 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 95932224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148530564).

95932224 is an abundant number, since it is smaller than the sum of its proper divisors (201128904).

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

95932224 is a wasteful number, since it uses less digits than its factorization.

95932224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 95932224 is about 9794.4996809434. The cubic root of 95932224 is about 457.7779158855. Note that the first 3 decimals are identical.

The spelling of 95932224 in words is "ninety-five million, nine hundred thirty-two thousand, two hundred twenty-four".