67228560 has 120 divisors (see below), whose sum is σ = 258048960. Its totient is φ = 15365376.

The previous prime is 67228543. The next prime is 67228571. The reversal of 67228560 is 6582276.

67228560 is a `hidden beast` number, since 6 + 72 + 28 + 560 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 1630 + ... + 11709.

It is an arithmetic number, because the mean of its divisors is an integer number (2150408).

Almost surely, 2^67228560 is an apocalyptic number.

67228560 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 67228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024480).

67228560 is an abundant number, since it is smaller than the sum of its proper divisors (190820400).

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

67228560 is a wasteful number, since it uses less digits than its factorization.

67228560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13365 (or 13356 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 67228560 is about 8199.3024093517. The cubic root of 67228560 is about 406.6161303620.

The spelling of 67228560 in words is "sixty-seven million, two hundred twenty-eight thousand, five hundred sixty".