68947920 has 240 divisors, whose sum is σ = 252787392. Its totient is φ = 16773120.

The previous prime is 68947913. The next prime is 68947969. The reversal of 68947920 is 2974986.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526255 + ... + 526385.

Almost surely, 2^68947920 is an apocalyptic number.

68947920 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 68947920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126393696).

68947920 is an abundant number, since it is smaller than the sum of its proper divisors (183839472).

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

68947920 is a wasteful number, since it uses less digits than its factorization.

68947920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 68947920 is about 8303.4884235483. The cubic root of 68947920 is about 410.0533739755.

The spelling of 68947920 in words is "sixty-eight million, nine hundred forty-seven thousand, nine hundred twenty".