67068768 has 96 divisors (see below), whose sum is σ = 192925152. Its totient is φ = 20275200.

The previous prime is 67068737. The next prime is 67068787. The reversal of 67068768 is 86786076.

67068768 = T₃₄₇ + T₃₄₈ + ... + T₇₆₂.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 75688 + ... + 76568.

It is an arithmetic number, because the mean of its divisors is an integer number (2009637).

Almost surely, 2^67068768 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 67068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96462576).

67068768 is an abundant number, since it is smaller than the sum of its proper divisors (125856384).

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

67068768 is a wasteful number, since it uses less digits than its factorization.

67068768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 67068768 is about 8189.5523687196. The cubic root of 67068768 is about 406.2937200127.

The spelling of 67068768 in words is "sixty-seven million, sixty-eight thousand, seven hundred sixty-eight".