68460480 has 168 divisors, whose sum is σ = 257001264. Its totient is φ = 16588800.

The previous prime is 68460463. The next prime is 68460517. The reversal of 68460480 is 8406486.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30600 + ... + 32760.

Almost surely, 2^68460480 is an apocalyptic number.

68460480 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 68460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128500632).

68460480 is an abundant number, since it is smaller than the sum of its proper divisors (188540784).

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

68460480 is a wasteful number, since it uses less digits than its factorization.

68460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2182 counting only the distinct ones).

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

The square root of 68460480 is about 8274.0848436549. The cubic root of 68460480 is about 409.0847718945.

The spelling of 68460480 in words is "sixty-eight million, four hundred sixty thousand, four hundred eighty".