67314240 has 420 divisors, whose sum is σ = 283797756. Its totient is φ = 15095808.

The previous prime is 67314229. The next prime is 67314253. The reversal of 67314240 is 4241376.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 30735936 = 6048^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1270054 + ... + 1270106.

Almost surely, 2^67314240 is an apocalyptic number.

67314240 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 67314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141898878).

67314240 is an abundant number, since it is smaller than the sum of its proper divisors (216483516).

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

67314240 is a wasteful number, since it uses less digits than its factorization.

67314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 67314240 is about 8204.5255804343. The cubic root of 67314240 is about 406.7887954728.

The spelling of 67314240 in words is "sixty-seven million, three hundred fourteen thousand, two hundred forty".