67467648 has 64 divisors (see below), whose sum is σ = 187027200. Its totient is φ = 21508608.

The previous prime is 67467643. The next prime is 67467649. The reversal of 67467648 is 84676476.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 67467597 and 67467606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67467643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5013 + ... + 12651.

It is an arithmetic number, because the mean of its divisors is an integer number (2922300).

Almost surely, 2^67467648 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 67467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93513600).

67467648 is an abundant number, since it is smaller than the sum of its proper divisors (119559552).

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

67467648 is a wasteful number, since it uses less digits than its factorization.

67467648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679 (or 7667 counting only the distinct ones).

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

The square root of 67467648 is about 8213.8692465853. The cubic root of 67467648 is about 407.0975825838.

The spelling of 67467648 in words is "sixty-seven million, four hundred sixty-seven thousand, six hundred forty-eight".