95691648 has 128 divisors (see below), whose sum is σ = 283600800. Its totient is φ = 28385280.

The previous prime is 95691647. The next prime is 95691649. The reversal of 95691648 is 84619659.

It is an interprime number because it is at equal distance from previous prime (95691647) and next prime (95691649).

It is a tau number, because it is divible by the number of its divisors (128).

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

Its product of digits (466560) is a multiple of the sum of its prime factors (720).

It is a junction number, because it is equal to n+sod(n) for n = 95691597 and 95691606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95691647) 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, 144438 + ... + 145098.

Almost surely, 2^95691648 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 95691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141800400).

95691648 is an abundant number, since it is smaller than the sum of its proper divisors (187909152).

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

95691648 is a wasteful number, since it uses less digits than its factorization.

95691648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 95691648 is about 9782.2107930672. The cubic root of 95691648 is about 457.3949282430.

The spelling of 95691648 in words is "ninety-five million, six hundred ninety-one thousand, six hundred forty-eight".