95948200 has 48 divisors (see below), whose sum is σ = 228540060. Its totient is φ = 37440000.

The previous prime is 95948189. The next prime is 95948201. The reversal of 95948200 is 284959.

It can be written as a sum of positive squares in 6 ways, for example, as 22982436 + 72965764 = 4794^2 + 8542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 95948200.

It is not an unprimeable number, because it can be changed into a prime (95948201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2350 + ... + 14050.

Almost surely, 2^95948200 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 95948200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114270030).

95948200 is an abundant number, since it is smaller than the sum of its proper divisors (132591860).

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

95948200 is a wasteful number, since it uses less digits than its factorization.

95948200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11749 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 95948200 is about 9795.3152067710. The cubic root of 95948200 is about 457.8033263741.

The spelling of 95948200 in words is "ninety-five million, nine hundred forty-eight thousand, two hundred".