67834560 has 112 divisors (see below), whose sum is σ = 226771200. Its totient is φ = 17132544.

The previous prime is 67834549. The next prime is 67834561. The reversal of 67834560 is 6543876.

It is not an unprimeable number, because it can be changed into a prime (67834561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16381 + ... + 20099.

Almost surely, 2^67834560 is an apocalyptic number.

67834560 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 67834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113385600).

67834560 is an abundant number, since it is smaller than the sum of its proper divisors (158936640).

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

67834560 is a wasteful number, since it uses less digits than its factorization.

67834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 67834560 is about 8236.1738689758. The cubic root of 67834560 is about 407.8342271567.

The spelling of 67834560 in words is "sixty-seven million, eight hundred thirty-four thousand, five hundred sixty".