67674240 has 192 divisors, whose sum is σ = 241862400. Its totient is φ = 17418240.

The previous prime is 67674203. The next prime is 67674247. The reversal of 67674240 is 4247676.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 67674195 and 67674204.

It is not an unprimeable number, because it can be changed into a prime (67674247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178371 + ... + 178749.

It is an arithmetic number, because the mean of its divisors is an integer number (1259700).

Almost surely, 2^67674240 is an apocalyptic number.

67674240 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 67674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120931200).

67674240 is an abundant number, since it is smaller than the sum of its proper divisors (174188160).

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

67674240 is a wasteful number, since it uses less digits than its factorization.

67674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 67674240 is about 8226.4354370529. The cubic root of 67674240 is about 407.5126823057.

The spelling of 67674240 in words is "sixty-seven million, six hundred seventy-four thousand, two hundred forty".