95971456 has 64 divisors (see below), whose sum is σ = 228055680. Its totient is φ = 39333888.

The previous prime is 95971453. The next prime is 95971457. The reversal of 95971456 is 65417959.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (95971453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18280 + ... + 22936.

It is an arithmetic number, because the mean of its divisors is an integer number (3563370).

Almost surely, 2^95971456 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 95971456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114027840).

95971456 is an abundant number, since it is smaller than the sum of its proper divisors (132084224).

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

95971456 is a wasteful number, since it uses less digits than its factorization.

95971456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4689 counting only the distinct ones).

The product of its digits is 340200, while the sum is 46.

The square root of 95971456 is about 9796.5022329401. The cubic root of 95971456 is about 457.8403109626.

The spelling of 95971456 in words is "ninety-five million, nine hundred seventy-one thousand, four hundred fifty-six".