67000920 has 192 divisors, whose sum is σ = 240226560. Its totient is φ = 14641920.

The previous prime is 67000873. The next prime is 67000937. The reversal of 67000920 is 2900076.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 807199 + ... + 807281.

It is an arithmetic number, because the mean of its divisors is an integer number (1251180).

Almost surely, 2^67000920 is an apocalyptic number.

67000920 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 67000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120113280).

67000920 is an abundant number, since it is smaller than the sum of its proper divisors (173225640).

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

67000920 is a wasteful number, since it uses less digits than its factorization.

67000920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 67000920 is about 8185.4089696239. The cubic root of 67000920 is about 406.1566690531.

Adding to 67000920 its reverse (2900076), we get a palindrome (69900996).

The spelling of 67000920 in words is "sixty-seven million, nine hundred twenty", and thus it is an aban number.