95476320 has 240 divisors, whose sum is σ = 345779280. Its totient is φ = 24800256.

The previous prime is 95476313. The next prime is 95476321. The reversal of 95476320 is 2367459.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95476321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 686811 + ... + 686949.

It is an arithmetic number, because the mean of its divisors is an integer number (1440747).

Almost surely, 2^95476320 is an apocalyptic number.

95476320 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 95476320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172889640).

95476320 is an abundant number, since it is smaller than the sum of its proper divisors (250302960).

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

95476320 is a wasteful number, since it uses less digits than its factorization.

95476320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 95476320 is about 9771.1984935319. The cubic root of 95476320 is about 457.0515896668.

The spelling of 95476320 in words is "ninety-five million, four hundred seventy-six thousand, three hundred twenty".