67161120 has 192 divisors, whose sum is σ = 233694720. Its totient is φ = 16109568.

The previous prime is 67161109. The next prime is 67161131. The reversal of 67161120 is 2116176.

It is an interprime number because it is at equal distance from previous prime (67161109) and next prime (67161131).

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 31 ways as a sum of consecutive naturals, for example, 293166 + ... + 293394.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 2^67161120 is an apocalyptic number.

67161120 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 67161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

67161120 is an abundant number, since it is smaller than the sum of its proper divisors (166533600).

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

67161120 is a wasteful number, since it uses less digits than its factorization.

67161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 67161120 is about 8195.1888324797. The cubic root of 67161120 is about 406.4801198806.

Adding to 67161120 its reverse (2116176), we get a palindrome (69277296).

The spelling of 67161120 in words is "sixty-seven million, one hundred sixty-one thousand, one hundred twenty".