95748000 has 192 divisors, whose sum is σ = 320785920. Its totient is φ = 24960000.

The previous prime is 95747999. The next prime is 95748007. The reversal of 95748000 is 84759.

It is a super-3 number, since 3×95748000³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (95748007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947950 + ... + 948050.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^95748000 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 95748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

95748000 is an abundant number, since it is smaller than the sum of its proper divisors (225037920).

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

95748000 is a wasteful number, since it uses less digits than its factorization.

95748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 95748000 is about 9785.0906996307. The cubic root of 95748000 is about 457.4846959556.

The spelling of 95748000 in words is "ninety-five million, seven hundred forty-eight thousand".