95967360 has 96 divisors (see below), whose sum is σ = 331407180. Its totient is φ = 25589760.

The previous prime is 95967359. The next prime is 95967367. The reversal of 95967360 is 6376959.

It can be written as a sum of positive squares in 2 ways, for example, as 95413824 + 553536 = 9768^2 + 744^2 .

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (95967367) 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, 2571 + ... + 14090.

Almost surely, 2^95967360 is an apocalyptic number.

95967360 is a gapful number since it is divisible by the number (90) 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 95967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165703590).

95967360 is an abundant number, since it is smaller than the sum of its proper divisors (235439820).

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

95967360 is a wasteful number, since it uses less digits than its factorization.

95967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16686 (or 16671 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 95967360 is about 9796.2931765030. The cubic root of 95967360 is about 457.8337974266.

The spelling of 95967360 in words is "ninety-five million, nine hundred sixty-seven thousand, three hundred sixty".