95056416 has 360 divisors, whose sum is σ = 357122304. Its totient is φ = 24261120.

The previous prime is 95056397. The next prime is 95056421. The reversal of 95056416 is 61465059.

95056416 is a `hidden beast` number, since 9 + 5 + 0 + 5 + 641 + 6 = 666.

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 3066321 + ... + 3066351.

Almost surely, 2^95056416 is an apocalyptic number.

95056416 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 95056416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178561152).

95056416 is an abundant number, since it is smaller than the sum of its proper divisors (262065888).

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

95056416 is a wasteful number, since it uses less digits than its factorization.

95056416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 95056416 is about 9749.6879950078. The cubic root of 95056416 is about 456.3805687230.

The spelling of 95056416 in words is "ninety-five million, fifty-six thousand, four hundred sixteen".