60456960 has 192 divisors, whose sum is σ = 214692660. Its totient is φ = 15728640.

The previous prime is 60456931. The next prime is 60456961. The reversal of 60456960 is 6965406.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 7225344 = 7296^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 656 × 144 × 640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60456961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474540 + ... + 1474580.

Almost surely, 2^60456960 is an apocalyptic number.

60456960 is a gapful number since it is divisible by the number (60) 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 60456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107346330).

60456960 is an abundant number, since it is smaller than the sum of its proper divisors (154235700).

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

60456960 is an equidigital number, since it uses as much as digits as its factorization.

60456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 60456960 is about 7775.4073848256. The cubic root of 60456960 is about 392.4781060718.

It can be divided in two parts, 60456 and 960, that added together give a palindrome (61416).

The spelling of 60456960 in words is "sixty million, four hundred fifty-six thousand, nine hundred sixty".