95697360 has 240 divisors, whose sum is σ = 360030528. Its totient is φ = 22579200.

The previous prime is 95697359. The next prime is 95697367. The reversal of 95697360 is 6379659.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95697367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340420 + ... + 340700.

Almost surely, 2^95697360 is an apocalyptic number.

95697360 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 95697360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180015264).

95697360 is an abundant number, since it is smaller than the sum of its proper divisors (264333168).

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

95697360 is a wasteful number, since it uses less digits than its factorization.

95697360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

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

The square root of 95697360 is about 9782.5027472524. The cubic root of 95697360 is about 457.4040289600.

The spelling of 95697360 in words is "ninety-five million, six hundred ninety-seven thousand, three hundred sixty".