95496960 has 144 divisors (see below), whose sum is σ = 328626144. Its totient is φ = 23494656.

The previous prime is 95496953. The next prime is 95496967. The reversal of 95496960 is 6969459.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (95496953) and next prime (95496967).

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

It is not an unprimeable number, because it can be changed into a prime (95496967) 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, 48964 + ... + 50876.

It is an arithmetic number, because the mean of its divisors is an integer number (2282126).

Almost surely, 2^95496960 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 95496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164313072).

95496960 is an abundant number, since it is smaller than the sum of its proper divisors (233129184).

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

95496960 is a wasteful number, since it uses less digits than its factorization.

95496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 95496960 is about 9772.2546016771. The cubic root of 95496960 is about 457.0845223183.

The spelling of 95496960 in words is "ninety-five million, four hundred ninety-six thousand, nine hundred sixty".