67012560 has 120 divisors (see below), whose sum is σ = 226827744. Its totient is φ = 17729280.

The previous prime is 67012559. The next prime is 67012567. The reversal of 67012560 is 6521076.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67012567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117075 + ... + 117645.

Almost surely, 2^67012560 is an apocalyptic number.

67012560 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 67012560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113413872).

67012560 is an abundant number, since it is smaller than the sum of its proper divisors (159815184).

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

67012560 is a wasteful number, since it uses less digits than its factorization.

67012560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 67012560 is about 8186.1199600299. The cubic root of 67012560 is about 406.1801880828.

It can be divided in two parts, 6701 and 2560, that added together give a cube (9261 = 21³).

The spelling of 67012560 in words is "sixty-seven million, twelve thousand, five hundred sixty".