67038048 has 144 divisors (see below), whose sum is σ = 237758976. Its totient is φ = 17406720.

The previous prime is 67038029. The next prime is 67038067. The reversal of 67038048 is 84083076.

It is an interprime number because it is at equal distance from previous prime (67038029) and next prime (67038067).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20665 + ... + 23687.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2^67038048 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 67038048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118879488).

67038048 is an abundant number, since it is smaller than the sum of its proper divisors (170720928).

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

67038048 is a wasteful number, since it uses less digits than its factorization.

67038048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 67038048 is about 8187.6765935154. The cubic root of 67038048 is about 406.2316779745.

The spelling of 67038048 in words is "sixty-seven million, thirty-eight thousand, forty-eight".