68209920 has 216 divisors, whose sum is σ = 244887552. Its totient is φ = 17510400.

The previous prime is 68209903. The next prime is 68209931. The reversal of 68209920 is 2990286.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 357025 + ... + 357215.

Almost surely, 2^68209920 is an apocalyptic number.

68209920 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 68209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122443776).

68209920 is an abundant number, since it is smaller than the sum of its proper divisors (176677632).

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

68209920 is a wasteful number, since it uses less digits than its factorization.

68209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 68209920 is about 8258.9297127412. The cubic root of 68209920 is about 408.5850890458.

The spelling of 68209920 in words is "sixty-eight million, two hundred nine thousand, nine hundred twenty".