67544040 has 128 divisors (see below), whose sum is σ = 213073920. Its totient is φ = 17107200.

The previous prime is 67544027. The next prime is 67544041. The reversal of 67544040 is 4044576.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 67543989 and 67544007.

It is not an unprimeable number, because it can be changed into a prime (67544041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249105 + ... + 249375.

It is an arithmetic number, because the mean of its divisors is an integer number (1664640).

Almost surely, 2^67544040 is an apocalyptic number.

67544040 is a gapful number since it is divisible by the number (60) 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 67544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106536960).

67544040 is an abundant number, since it is smaller than the sum of its proper divisors (145529880).

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

67544040 is a wasteful number, since it uses less digits than its factorization.

67544040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 67544040 is about 8218.5181145995. The cubic root of 67544040 is about 407.2511735728.

The spelling of 67544040 in words is "sixty-seven million, five hundred forty-four thousand, forty".