67962240 has 384 divisors, whose sum is σ = 267321600. Its totient is φ = 16422912.

The previous prime is 67962239. The next prime is 67962247. The reversal of 67962240 is 4226976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67962195 and 67962204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67962247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2954869 + ... + 2954891.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 2^67962240 is an apocalyptic number.

67962240 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 67962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

67962240 is an abundant number, since it is smaller than the sum of its proper divisors (199359360).

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

67962240 is a wasteful number, since it uses less digits than its factorization.

67962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 67962240 is about 8243.9213970052. The cubic root of 67962240 is about 408.0899455675.

The spelling of 67962240 in words is "sixty-seven million, nine hundred sixty-two thousand, two hundred forty".