67951440 has 160 divisors (see below), whose sum is σ = 236711040. Its totient is φ = 17915904.

The previous prime is 67951417. The next prime is 67951447. The reversal of 67951440 is 4415976.

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 = 67951395 and 67951404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67951447) 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, 351984 + ... + 352176.

It is an arithmetic number, because the mean of its divisors is an integer number (1479444).

Almost surely, 2^67951440 is an apocalyptic number.

67951440 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 67951440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118355520).

67951440 is an abundant number, since it is smaller than the sum of its proper divisors (168759600).

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

67951440 is a wasteful number, since it uses less digits than its factorization.

67951440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 67951440 is about 8243.2663429007. The cubic root of 67951440 is about 408.0683276569.

The spelling of 67951440 in words is "sixty-seven million, nine hundred fifty-one thousand, four hundred forty".