67016880 has 120 divisors (see below), whose sum is σ = 257236512. Its totient is φ = 15316992.

The previous prime is 67016869. The next prime is 67016897. The reversal of 67016880 is 8861076.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1609 + ... + 11688.

Almost surely, 2^67016880 is an apocalyptic number.

67016880 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 67016880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128618256).

67016880 is an abundant number, since it is smaller than the sum of its proper divisors (190219632).

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

67016880 is a wasteful number, since it uses less digits than its factorization.

67016880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13323 (or 13314 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 67016880 is about 8186.3838170464. The cubic root of 67016880 is about 406.1889161019.

It can be divided in two parts, 67016 and 880, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 67016880 in words is "sixty-seven million, sixteen thousand, eight hundred eighty".