95056896 has 176 divisors, whose sum is σ = 288872640. Its totient is φ = 27525120.

The previous prime is 95056891. The next prime is 95056903. The reversal of 95056896 is 69865059.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95056891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 979920 + ... + 980016.

Almost surely, 2^95056896 is an apocalyptic number.

95056896 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 95056896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144436320).

95056896 is an abundant number, since it is smaller than the sum of its proper divisors (193815744).

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

95056896 is a wasteful number, since it uses less digits than its factorization.

95056896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 95056896 is about 9749.7126111491. The cubic root of 95056896 is about 456.3813369065.

The spelling of 95056896 in words is "ninety-five million, fifty-six thousand, eight hundred ninety-six".