95384016 has 240 divisors, whose sum is σ = 341228160. Its totient is φ = 24192000.

The previous prime is 95383997. The next prime is 95384017. The reversal of 95384016 is 61048359.

It is a super-2 number, since 2×95384016² = 18196221016576512, which contains 22 as substring.

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 (95384017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379891 + ... + 380141.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^95384016 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 95384016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

95384016 is an abundant number, since it is smaller than the sum of its proper divisors (245844144).

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

95384016 is a wasteful number, since it uses less digits than its factorization.

95384016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 95384016 is about 9766.4740822878. The cubic root of 95384016 is about 456.9042536832.

The spelling of 95384016 in words is "ninety-five million, three hundred eighty-four thousand, sixteen".