95067648 has 240 divisors, whose sum is σ = 316802640. Its totient is φ = 27979776.

The previous prime is 95067647. The next prime is 95067649. The reversal of 95067648 is 84676059.

It is an interprime number because it is at equal distance from previous prime (95067647) and next prime (95067649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95067647) 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 23 ways as a sum of consecutive naturals, for example, 4133365 + ... + 4133387.

It is an arithmetic number, because the mean of its divisors is an integer number (1320011).

Almost surely, 2^95067648 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 95067648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158401320).

95067648 is an abundant number, since it is smaller than the sum of its proper divisors (221734992).

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

95067648 is a wasteful number, since it uses less digits than its factorization.

95067648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 95067648 is about 9750.2639964259. The cubic root of 95067648 is about 456.3985435386.

The spelling of 95067648 in words is "ninety-five million, sixty-seven thousand, six hundred forty-eight".