67680720 has 240 divisors, whose sum is σ = 244662912. Its totient is φ = 16727040.

The previous prime is 67680707. The next prime is 67680727. The reversal of 67680720 is 2708676.

It is a tau number, because it is divible by the number of its divisors (240).

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 (67680727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010127 + ... + 1010193.

Almost surely, 2^67680720 is an apocalyptic number.

67680720 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 67680720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122331456).

67680720 is an abundant number, since it is smaller than the sum of its proper divisors (176982192).

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

67680720 is a wasteful number, since it uses less digits than its factorization.

67680720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

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

The square root of 67680720 is about 8226.8292798623. The cubic root of 67680720 is about 407.5256887214.

The spelling of 67680720 in words is "sixty-seven million, six hundred eighty thousand, seven hundred twenty".