67042560 has 288 divisors, whose sum is σ = 247242240. Its totient is φ = 15335424.

The previous prime is 67042541. The next prime is 67042571. The reversal of 67042560 is 6524076.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 848601 + ... + 848679.

It is an arithmetic number, because the mean of its divisors is an integer number (858480).

Almost surely, 2^67042560 is an apocalyptic number.

67042560 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 67042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

67042560 is an abundant number, since it is smaller than the sum of its proper divisors (180199680).

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

67042560 is a wasteful number, since it uses less digits than its factorization.

67042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 67042560 is about 8187.9521249211. The cubic root of 67042560 is about 406.2407915861.

The spelling of 67042560 in words is "sixty-seven million, forty-two thousand, five hundred sixty".