67271040 has 256 divisors, whose sum is σ = 253368000. Its totient is φ = 16809984.

The previous prime is 67270997. The next prime is 67271041. The reversal of 67271040 is 4017276.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 67270995 and 67271013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67271041) 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, 293646 + ... + 293874.

Almost surely, 2^67271040 is an apocalyptic number.

67271040 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 67271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126684000).

67271040 is an abundant number, since it is smaller than the sum of its proper divisors (186096960).

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

67271040 is a wasteful number, since it uses less digits than its factorization.

67271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 67271040 is about 8201.8924645474. The cubic root of 67271040 is about 406.7017557587.

The spelling of 67271040 in words is "sixty-seven million, two hundred seventy-one thousand, forty".