95905200 has 120 divisors (see below), whose sum is σ = 309442000. Its totient is φ = 25390080.

The previous prime is 95905189. The next prime is 95905213. The reversal of 95905200 is 250959.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274626 + ... + 274974.

Almost surely, 2^95905200 is an apocalyptic number.

95905200 is the 5235-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95905200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154721000).

95905200 is an abundant number, since it is smaller than the sum of its proper divisors (213536800).

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

95905200 is a wasteful number, since it uses less digits than its factorization.

95905200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 95905200 is about 9793.1200339830. The cubic root of 95905200 is about 457.7349266733.

The spelling of 95905200 in words is "ninety-five million, nine hundred five thousand, two hundred".