67944960 has 160 divisors (see below), whose sum is σ = 241591680. Its totient is φ = 18100224.

The previous prime is 67944953. The next prime is 67944991. The reversal of 67944960 is 6944976.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68629 + ... + 69611.

It is an arithmetic number, because the mean of its divisors is an integer number (1509948).

Almost surely, 2^67944960 is an apocalyptic number.

67944960 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 67944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120795840).

67944960 is an abundant number, since it is smaller than the sum of its proper divisors (173646720).

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

67944960 is an equidigital number, since it uses as much as digits as its factorization.

67944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 67944960 is about 8242.8732854509. The cubic root of 67944960 is about 408.0553558110.

The spelling of 67944960 in words is "sixty-seven million, nine hundred forty-four thousand, nine hundred sixty".