60864480 has 192 divisors, whose sum is σ = 217062720. Its totient is φ = 15925248.

The previous prime is 60864473. The next prime is 60864487. The reversal of 60864480 is 8446806.

60864480 is a `hidden beast` number, since 6 + 0 + 8 + 644 + 8 + 0 = 666.

60864480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60864473) and next prime (60864487).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60864487) 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 31 ways as a sum of consecutive naturals, for example, 315264 + ... + 315456.

It is an arithmetic number, because the mean of its divisors is an integer number (1130535).

Almost surely, 2^60864480 is an apocalyptic number.

60864480 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 60864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108531360).

60864480 is an abundant number, since it is smaller than the sum of its proper divisors (156198240).

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

60864480 is a wasteful number, since it uses less digits than its factorization.

60864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 60864480 is about 7801.5690729494. The cubic root of 60864480 is about 393.3579862616.

The spelling of 60864480 in words is "sixty million, eight hundred sixty-four thousand, four hundred eighty".