95078016 has 256 divisors, whose sum is σ = 318729600. Its totient is φ = 27648000.

The previous prime is 95077993. The next prime is 95078041. The reversal of 95078016 is 61087059.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1558626 + ... + 1558686.

Almost surely, 2^95078016 is an apocalyptic number.

95078016 is a gapful number since it is divisible by the number (96) 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 95078016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

95078016 is an abundant number, since it is smaller than the sum of its proper divisors (223651584).

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

95078016 is a wasteful number, since it uses less digits than its factorization.

95078016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 95078016 is about 9750.7956598423. The cubic root of 95078016 is about 456.4151344196.

The spelling of 95078016 in words is "ninety-five million, seventy-eight thousand, sixteen".