67963240 has 64 divisors (see below), whose sum is σ = 162162000. Its totient is φ = 25589760.

The previous prime is 67963187. The next prime is 67963243. The reversal of 67963240 is 4236976.

It can be written as a sum of positive squares in 8 ways, for example, as 2256004 + 65707236 = 1502^2 + 8106^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67963240.

It is not an unprimeable number, because it can be changed into a prime (67963243) 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, 46846 + ... + 48274.

Almost surely, 2^67963240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67963240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81081000).

67963240 is an abundant number, since it is smaller than the sum of its proper divisors (94198760).

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

67963240 is a wasteful number, since it uses less digits than its factorization.

67963240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 67963240 is about 8243.9820475302. The cubic root of 67963240 is about 408.0919471101.

The spelling of 67963240 in words is "sixty-seven million, nine hundred sixty-three thousand, two hundred forty".