67679040 has 448 divisors, whose sum is σ = 276514560. Its totient is φ = 13762560.

The previous prime is 67679021. The next prime is 67679047. The reversal of 67679040 is 4097676.

It is a Harshad number since it is a multiple of its sum of digits (39).

67679040 is a Rhonda number in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 67679040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67679047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333746 + ... + 2333774.

It is an arithmetic number, because the mean of its divisors is an integer number (617220).

Almost surely, 2^67679040 is an apocalyptic number.

67679040 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 67679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

67679040 is an abundant number, since it is smaller than the sum of its proper divisors (208835520).

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

67679040 is a wasteful number, since it uses less digits than its factorization.

67679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 67679040 is about 8226.7271742778. The cubic root of 67679040 is about 407.5223167674.

The spelling of 67679040 in words is "sixty-seven million, six hundred seventy-nine thousand, forty".