68476320 has 288 divisors, whose sum is σ = 265446720. Its totient is φ = 16473600.

The previous prime is 68476319. The next prime is 68476327. The reversal of 68476320 is 2367486.

It is a tau number, because it is divible by the number of its divisors (288).

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 (68476327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 522655 + ... + 522785.

It is an arithmetic number, because the mean of its divisors is an integer number (921690).

Almost surely, 2^68476320 is an apocalyptic number.

68476320 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 68476320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132723360).

68476320 is an abundant number, since it is smaller than the sum of its proper divisors (196970400).

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

68476320 is a wasteful number, since it uses less digits than its factorization.

68476320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 68476320 is about 8275.0419938511. The cubic root of 68476320 is about 409.1163200377.

The spelling of 68476320 in words is "sixty-eight million, four hundred seventy-six thousand, three hundred twenty".