95204160 has 140 divisors (see below), whose sum is σ = 338750148. Its totient is φ = 25380864.

The previous prime is 95204089. The next prime is 95204201. The reversal of 95204160 is 6140259.

It can be written as a sum of positive squares in 2 ways, for example, as 18045504 + 77158656 = 4248^2 + 8784^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24084 + ... + 27756.

Almost surely, 2^95204160 is an apocalyptic number.

95204160 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 95204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169375074).

95204160 is an abundant number, since it is smaller than the sum of its proper divisors (243545988).

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

95204160 is a wasteful number, since it uses less digits than its factorization.

95204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 95204160 is about 9757.2619110076. The cubic root of 95204160 is about 456.6168935991.

The spelling of 95204160 in words is "ninety-five million, two hundred four thousand, one hundred sixty".