95180416 has 96 divisors (see below), whose sum is σ = 210430080. Its totient is φ = 42823680.

The previous prime is 95180411. The next prime is 95180429. The reversal of 95180416 is 61408159.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (95180411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1146711 + ... + 1146793.

It is an arithmetic number, because the mean of its divisors is an integer number (2191980).

Almost surely, 2^95180416 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 95180416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105215040).

95180416 is an abundant number, since it is smaller than the sum of its proper divisors (115249664).

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

95180416 is a wasteful number, since it uses less digits than its factorization.

95180416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 95180416 is about 9756.0451003468. The cubic root of 95180416 is about 456.5789302266.

The spelling of 95180416 in words is "ninety-five million, one hundred eighty thousand, four hundred sixteen".