67795840 has 128 divisors (see below), whose sum is σ = 190699200. Its totient is φ = 22560768.

The previous prime is 67795771. The next prime is 67795873. The reversal of 67795840 is 4859776.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165556 + ... + 165964.

Almost surely, 2^67795840 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 67795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95349600).

67795840 is an abundant number, since it is smaller than the sum of its proper divisors (122903360).

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

67795840 is a wasteful number, since it uses less digits than its factorization.

67795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 67795840 is about 8233.8229274135. The cubic root of 67795840 is about 407.7566150625.

It can be divided in two parts, 67795 and 840, that added together give a triangular number (68635 = T₃₇₀).

The spelling of 67795840 in words is "sixty-seven million, seven hundred ninety-five thousand, eight hundred forty".