67427360 has 192 divisors, whose sum is σ = 214389504. Its totient is φ = 19353600.

The previous prime is 67427341. The next prime is 67427363. The reversal of 67427360 is 6372476.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 67427360.

It is not an unprimeable number, because it can be changed into a prime (67427363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159950 + ... + 160370.

It is an arithmetic number, because the mean of its divisors is an integer number (1116612).

Almost surely, 2^67427360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107194752).

67427360 is an abundant number, since it is smaller than the sum of its proper divisors (146962144).

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

67427360 is a wasteful number, since it uses less digits than its factorization.

67427360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 67427360 is about 8211.4164429774. The cubic root of 67427360 is about 407.0165342908.

The spelling of 67427360 in words is "sixty-seven million, four hundred twenty-seven thousand, three hundred sixty".