67086720 has 192 divisors, whose sum is σ = 244249200. Its totient is φ = 16920576.

The previous prime is 67086673. The next prime is 67086727. The reversal of 67086720 is 2768076.

It is a tau number, because it is divible by the number of its divisors (192).

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 (67086727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109134 + ... + 109746.

Almost surely, 2^67086720 is an apocalyptic number.

67086720 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 67086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122124600).

67086720 is an abundant number, since it is smaller than the sum of its proper divisors (177162480).

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

67086720 is a wasteful number, since it uses less digits than its factorization.

67086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 67086720 is about 8190.6483259874. The cubic root of 67086720 is about 406.3299670589.

The spelling of 67086720 in words is "sixty-seven million, eighty-six thousand, seven hundred twenty".