67845960 has 384 divisors, whose sum is σ = 288288000. Its totient is φ = 13436928.

The previous prime is 67845919. The next prime is 67846001. The reversal of 67845960 is 6954876.

It is an interprime number because it is at equal distance from previous prime (67845919) and next prime (67846001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 622386 + ... + 622494.

It is an arithmetic number, because the mean of its divisors is an integer number (750750).

Almost surely, 2^67845960 is an apocalyptic number.

67845960 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 67845960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144000).

67845960 is an abundant number, since it is smaller than the sum of its proper divisors (220442040).

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

67845960 is a wasteful number, since it uses less digits than its factorization.

67845960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 67845960 is about 8236.8659088272. The cubic root of 67845960 is about 407.8570721970.

The spelling of 67845960 in words is "sixty-seven million, eight hundred forty-five thousand, nine hundred sixty".