68446080 has 256 divisors, whose sum is σ = 257774400. Its totient is φ = 17104896.

The previous prime is 68446057. The next prime is 68446093. The reversal of 68446080 is 8064486.

68446080 is a `hidden beast` number, since 6 + 8 + 44 + 608 + 0 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293644 + ... + 293876.

Almost surely, 2^68446080 is an apocalyptic number.

68446080 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 68446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128887200).

68446080 is an abundant number, since it is smaller than the sum of its proper divisors (189328320).

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

68446080 is a wasteful number, since it uses less digits than its factorization.

68446080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 260 counting only the distinct ones).

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

The square root of 68446080 is about 8273.2146110203. The cubic root of 68446080 is about 409.0560875411.

It can be divided in two parts, 684 and 46080, that added together give a palindrome (46764).

The spelling of 68446080 in words is "sixty-eight million, four hundred forty-six thousand, eighty".