60960960 has 168 divisors, whose sum is σ = 213731856. Its totient is φ = 15943680.

The previous prime is 60960959. The next prime is 60960967. The reversal of 60960960 is 6906906.

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

It is not an unprimeable number, because it can be changed into a prime (60960967) 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, 175507 + ... + 175853.

Almost surely, 2^60960960 is an apocalyptic number.

60960960 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 60960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106865928).

60960960 is an abundant number, since it is smaller than the sum of its proper divisors (152770896).

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

60960960 is a wasteful number, since it uses less digits than its factorization.

60960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 60960960 is about 7807.7499959976. The cubic root of 60960960 is about 393.5657217818.

The spelling of 60960960 in words is "sixty million, nine hundred sixty thousand, nine hundred sixty".