67781040 has 160 divisors (see below), whose sum is σ = 229003200. Its totient is φ = 16515072.

The previous prime is 67781039. The next prime is 67781041. The reversal of 67781040 is 4018776.

It is an interprime number because it is at equal distance from previous prime (67781039) and next prime (67781041).

It is a junction number, because it is equal to n+sod(n) for n = 67780992 and 67781010.

It is not an unprimeable number, because it can be changed into a prime (67781041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150736 + ... + 151184.

It is an arithmetic number, because the mean of its divisors is an integer number (1431270).

Almost surely, 2^67781040 is an apocalyptic number.

67781040 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 67781040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114501600).

67781040 is an abundant number, since it is smaller than the sum of its proper divisors (161222160).

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

67781040 is a wasteful number, since it uses less digits than its factorization.

67781040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 67781040 is about 8232.9241463772. The cubic root of 67781040 is about 407.7269414763.

The spelling of 67781040 in words is "sixty-seven million, seven hundred eighty-one thousand, forty".