67120020 has 144 divisors (see below), whose sum is σ = 224864640. Its totient is φ = 16070400.

The previous prime is 67120019. The next prime is 67120057. The reversal of 67120020 is 2002176.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 67119975 and 67120002.

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, 215665 + ... + 215975.

It is an arithmetic number, because the mean of its divisors is an integer number (1561560).

Almost surely, 2^67120020 is an apocalyptic number.

67120020 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 67120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432320).

67120020 is an abundant number, since it is smaller than the sum of its proper divisors (157744620).

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

67120020 is a wasteful number, since it uses less digits than its factorization.

67120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 67120020 is about 8192.6808799074. The cubic root of 67120020 is about 406.3971862728.

Adding to 67120020 its reverse (2002176), we get a palindrome (69122196).

The spelling of 67120020 in words is "sixty-seven million, one hundred twenty thousand, twenty".