68191200 has 576 divisors, whose sum is σ = 314979840. Its totient is φ = 13824000.

The previous prime is 68191181. The next prime is 68191243. The reversal of 68191200 is 219186.

68191200 = T₄₄₁ + T₄₄₂ + ... + T₇₉₀.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1663180 + ... + 1663220.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^68191200 is an apocalyptic number.

68191200 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 68191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

68191200 is an abundant number, since it is smaller than the sum of its proper divisors (246788640).

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

68191200 is a wasteful number, since it uses less digits than its factorization.

68191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 68191200 is about 8257.7963162093. The cubic root of 68191200 is about 408.5477073243.

The spelling of 68191200 in words is "sixty-eight million, one hundred ninety-one thousand, two hundred".