67340640 has 96 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 17851904.

The previous prime is 67340633. The next prime is 67340641. The reversal of 67340640 is 4604376.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 67340598 and 67340607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67340641) 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, 114427 + ... + 115013.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2^67340640 is an apocalyptic number.

67340640 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 67340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

67340640 is an abundant number, since it is smaller than the sum of its proper divisors (146032800).

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

67340640 is a wasteful number, since it uses less digits than its factorization.

67340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 67340640 is about 8206.1342908826. The cubic root of 67340640 is about 406.8419680783.

The spelling of 67340640 in words is "sixty-seven million, three hundred forty thousand, six hundred forty".