68496064 has 112 divisors (see below), whose sum is σ = 176377600. Its totient is φ = 25629696.

The previous prime is 68496059. The next prime is 68496067. The reversal of 68496064 is 46069486.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×68496064³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68496064.

It is not an unprimeable number, because it can be changed into a prime (68496067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110347 + ... + 110965.

It is an arithmetic number, because the mean of its divisors is an integer number (1574800).

Almost surely, 2^68496064 is an apocalyptic number.

68496064 is a gapful number since it is divisible by the number (64) 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 68496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88188800).

68496064 is an abundant number, since it is smaller than the sum of its proper divisors (107881536).

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

68496064 is a wasteful number, since it uses less digits than its factorization.

68496064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 68496064 is about 8276.2348927517. The cubic root of 68496064 is about 409.1556368721.

The spelling of 68496064 in words is "sixty-eight million, four hundred ninety-six thousand, sixty-four".