60312096 has 144 divisors (see below), whose sum is σ = 187813080. Its totient is φ = 18247680.

The previous prime is 60312067. The next prime is 60312097. The reversal of 60312096 is 69021306.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 47610000 = 3564^2 + 6900^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60312097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333126 + ... + 333306.

Almost surely, 2^60312096 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 60312096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93906540).

60312096 is an abundant number, since it is smaller than the sum of its proper divisors (127500984).

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

60312096 is a wasteful number, since it uses less digits than its factorization.

60312096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 60312096 is about 7766.0862730207. The cubic root of 60312096 is about 392.1643764328.

The spelling of 60312096 in words is "sixty million, three hundred twelve thousand, ninety-six".