68217600 has 432 divisors, whose sum is σ = 273732480. Its totient is φ = 14745600.

The previous prime is 68217557. The next prime is 68217601. The reversal of 68217600 is 671286.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (68217601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3590391 + ... + 3590409.

It is an arithmetic number, because the mean of its divisors is an integer number (633640).

Almost surely, 2^68217600 is an apocalyptic number.

68217600 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 68217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136866240).

68217600 is an abundant number, since it is smaller than the sum of its proper divisors (205514880).

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

68217600 is a wasteful number, since it uses less digits than its factorization.

68217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 68217600 is about 8259.3946509414. The cubic root of 68217600 is about 408.6004231581.

Adding to 68217600 its reverse (671286), we get a palindrome (68888886).

The spelling of 68217600 in words is "sixty-eight million, two hundred seventeen thousand, six hundred".