95607360 has 168 divisors, whose sum is σ = 333435960. Its totient is φ = 25141248.

The previous prime is 95607359. The next prime is 95607377. The reversal of 95607360 is 6370659.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 92621376 = 1728^2 + 9624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256134 + ... + 256506.

Almost surely, 2^95607360 is an apocalyptic number.

95607360 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 95607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166717980).

95607360 is an abundant number, since it is smaller than the sum of its proper divisors (237828600).

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

95607360 is a wasteful number, since it uses less digits than its factorization.

95607360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 95607360 is about 9777.9016153774. The cubic root of 95607360 is about 457.2605931867.

The spelling of 95607360 in words is "ninety-five million, six hundred seven thousand, three hundred sixty".