67112960 has 104 divisors (see below), whose sum is σ = 168079320. Its totient is φ = 25690112.

The previous prime is 67112951. The next prime is 67112971. The reversal of 67112960 is 6921176.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 67108864 = 64^2 + 8192^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 593864 + ... + 593976.

Almost surely, 2^67112960 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 67112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84039660).

67112960 is an abundant number, since it is smaller than the sum of its proper divisors (100966360).

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

67112960 is a wasteful number, since it uses less digits than its factorization.

67112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 67112960 is about 8192.2499961854. The cubic root of 67112960 is about 406.3829368495.

It can be divided in two parts, 671 and 12960, that added together give a palindrome (13631).

The spelling of 67112960 in words is "sixty-seven million, one hundred twelve thousand, nine hundred sixty".