68028480 has 336 divisors, whose sum is σ = 266273280. Its totient is φ = 15814656.

The previous prime is 68028479. The next prime is 68028487. The reversal of 68028480 is 8482086.

It is a super-2 number, since 2×68028480² = 9255748182220800, which contains 22 as substring.

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 (68028487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861081 + ... + 861159.

It is an arithmetic number, because the mean of its divisors is an integer number (792480).

Almost surely, 2^68028480 is an apocalyptic number.

68028480 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 68028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640).

68028480 is an abundant number, since it is smaller than the sum of its proper divisors (198244800).

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

68028480 is a wasteful number, since it uses less digits than its factorization.

68028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 68028480 is about 8247.9379241117. The cubic root of 68028480 is about 408.2224853448. Note that the first 3 decimals are identical.

The spelling of 68028480 in words is "sixty-eight million, twenty-eight thousand, four hundred eighty".