95518016 has 112 divisors (see below), whose sum is σ = 224698560. Its totient is φ = 39813120.

The previous prime is 95518001. The next prime is 95518043. The reversal of 95518016 is 61081559.

95518016 = 53³ + 54³ + ... + 140³.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494816 + ... + 495008.

Almost surely, 2^95518016 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 95518016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112349280).

95518016 is an abundant number, since it is smaller than the sum of its proper divisors (129180544).

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

95518016 is a wasteful number, since it uses less digits than its factorization.

95518016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 35.

The square root of 95518016 is about 9773.3318781263. The cubic root of 95518016 is about 457.1181138393.

The spelling of 95518016 in words is "ninety-five million, five hundred eighteen thousand, sixteen".