95253120 has 192 divisors, whose sum is σ = 343699200. Its totient is φ = 24262656.

The previous prime is 95253107. The next prime is 95253121. The reversal of 95253120 is 2135259.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (95253121) 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, 132121 + ... + 132839.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 2^95253120 is an apocalyptic number.

95253120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

95253120 is an abundant number, since it is smaller than the sum of its proper divisors (248446080).

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

95253120 is a wasteful number, since it uses less digits than its factorization.

95253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 95253120 is about 9759.7704891048. The cubic root of 95253120 is about 456.6951539466.

Adding to 95253120 its reverse (2135259), we get a palindrome (97388379).

The spelling of 95253120 in words is "ninety-five million, two hundred fifty-three thousand, one hundred twenty".