67644768 has 96 divisors (see below), whose sum is σ = 189876960. Its totient is φ = 21012480.

The previous prime is 67644761. The next prime is 67644779. The reversal of 67644768 is 86744676.

It is a happy number.

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).

Its product of digits (1354752) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67644761) 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, 295278 + ... + 295506.

It is an arithmetic number, because the mean of its divisors is an integer number (1977885).

Almost surely, 2^67644768 is an apocalyptic number.

67644768 is a gapful number since it is divisible by the number (68) 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 67644768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94938480).

67644768 is an abundant number, since it is smaller than the sum of its proper divisors (122232192).

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

67644768 is a wasteful number, since it uses less digits than its factorization.

67644768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 67644768 is about 8224.6439436610. The cubic root of 67644768 is about 407.4535167223.

The spelling of 67644768 in words is "sixty-seven million, six hundred forty-four thousand, seven hundred sixty-eight".