67858960 has 80 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 24675840.

The previous prime is 67858949. The next prime is 67858963. The reversal of 67858960 is 6985876.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (67858963) 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, 73381 + ... + 74299.

It is an arithmetic number, because the mean of its divisors is an integer number (2156112).

Almost surely, 2^67858960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67858960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

67858960 is an abundant number, since it is smaller than the sum of its proper divisors (104630000).

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

67858960 is a wasteful number, since it uses less digits than its factorization.

67858960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The square root of 67858960 is about 8237.6550061289. The cubic root of 67858960 is about 407.8831204359.

The spelling of 67858960 in words is "sixty-seven million, eight hundred fifty-eight thousand, nine hundred sixty".