67281948 has 48 divisors (see below), whose sum is σ = 177408000. Its totient is φ = 22045104.

The previous prime is 67281941. The next prime is 67281961. The reversal of 67281948 is 84918276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67281941) 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, 1093 + ... + 11651.

It is an arithmetic number, because the mean of its divisors is an integer number (3696000).

Almost surely, 2^67281948 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 67281948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704000).

67281948 is an abundant number, since it is smaller than the sum of its proper divisors (110126052).

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

67281948 is a wasteful number, since it uses less digits than its factorization.

67281948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10631 (or 10623 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 67281948 is about 8202.5574060777. The cubic root of 67281948 is about 406.7237368023.

The spelling of 67281948 in words is "sixty-seven million, two hundred eighty-one thousand, nine hundred forty-eight".