67131120 has 160 divisors (see below), whose sum is σ = 245698560. Its totient is φ = 14837760.

The previous prime is 67131109. The next prime is 67131131. The reversal of 67131120 is 2113176.

It is an interprime number because it is at equal distance from previous prime (67131109) and next prime (67131131).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 51436 + ... + 52724.

It is an arithmetic number, because the mean of its divisors is an integer number (1535616).

Almost surely, 2^67131120 is an apocalyptic number.

67131120 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 67131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122849280).

67131120 is an abundant number, since it is smaller than the sum of its proper divisors (178567440).

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

67131120 is a wasteful number, since it uses less digits than its factorization.

67131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 67131120 is about 8193.3582858313. The cubic root of 67131120 is about 406.4195877367.

Adding to 67131120 its reverse (2113176), we get a palindrome (69244296).

The spelling of 67131120 in words is "sixty-seven million, one hundred thirty-one thousand, one hundred twenty".