95446656 has 96 divisors (see below), whose sum is σ = 284228100. Its totient is φ = 30707712.

The previous prime is 95446651. The next prime is 95446669. The reversal of 95446656 is 65664459.

It can be written as a sum of positive squares in 2 ways, for example, as 94478400 + 968256 = 9720^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×95446656² = 18220128283164672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (95446651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31980 + ... + 34836.

Almost surely, 2^95446656 is an apocalyptic number.

95446656 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 95446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142114050).

95446656 is an abundant number, since it is smaller than the sum of its proper divisors (188781444).

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

95446656 is a wasteful number, since it uses less digits than its factorization.

95446656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2891 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 95446656 is about 9769.6804451323. The cubic root of 95446656 is about 457.0042502402.

The spelling of 95446656 in words is "ninety-five million, four hundred forty-six thousand, six hundred fifty-six".