67665920 has 128 divisors (see below), whose sum is σ = 188740800. Its totient is φ = 22806528.

The previous prime is 67665881. The next prime is 67665929. The reversal of 67665920 is 2956676.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (67665929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146851 + ... + 1146909.

Almost surely, 2^67665920 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 67665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94370400).

67665920 is an abundant number, since it is smaller than the sum of its proper divisors (121074880).

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

67665920 is an frugal number, since it uses more digits than its factorization.

67665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 67665920 is about 8225.9297346865. The cubic root of 67665920 is about 407.4959814927.

The spelling of 67665920 in words is "sixty-seven million, six hundred sixty-five thousand, nine hundred twenty".