68753040 has 80 divisors (see below), whose sum is σ = 220033536. Its totient is φ = 17740800.

The previous prime is 68753021. The next prime is 68753051. The reversal of 68753040 is 4035786.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 68752992 and 68753010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2820 + ... + 12060.

Almost surely, 2^68753040 is an apocalyptic number.

68753040 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 68753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110016768).

68753040 is an abundant number, since it is smaller than the sum of its proper divisors (151280496).

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

68753040 is a wasteful number, since it uses less digits than its factorization.

68753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9288 (or 9282 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 68753040 is about 8291.7452927595. The cubic root of 68753040 is about 409.6666733608. Note that the first 4 decimals are identical.

The spelling of 68753040 in words is "sixty-eight million, seven hundred fifty-three thousand, forty".