68611200 has 192 divisors, whose sum is σ = 258525120. Its totient is φ = 15667200.

The previous prime is 68611199. The next prime is 68611217. The reversal of 68611200 is 211686.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66690 + ... + 67710.

It is an arithmetic number, because the mean of its divisors is an integer number (1346485).

Almost surely, 2^68611200 is an apocalyptic number.

68611200 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 68611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129262560).

68611200 is an abundant number, since it is smaller than the sum of its proper divisors (189913920).

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

68611200 is a wasteful number, since it uses less digits than its factorization.

68611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 68611200 is about 8283.1877921486. The cubic root of 68611200 is about 409.3847603679.

Adding to 68611200 its reverse (211686), we get a palindrome (68822886).

The spelling of 68611200 in words is "sixty-eight million, six hundred eleven thousand, two hundred".