68901840 has 400 divisors, whose sum is σ = 288076800. Its totient is φ = 15240960.

The previous prime is 68901827. The next prime is 68901841. The reversal of 68901840 is 4810986.

It is a happy number.

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 = 68901795 and 68901804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68901841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2222625 + ... + 2222655.

It is an arithmetic number, because the mean of its divisors is an integer number (720192).

Almost surely, 2^68901840 is an apocalyptic number.

68901840 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 68901840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144038400).

68901840 is an abundant number, since it is smaller than the sum of its proper divisors (219174960).

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

68901840 is a wasteful number, since it uses less digits than its factorization.

68901840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 68901840 is about 8300.7132223683. The cubic root of 68901840 is about 409.9620032208.

The spelling of 68901840 in words is "sixty-eight million, nine hundred one thousand, eight hundred forty".