68280192 has 128 divisors (see below), whose sum is σ = 210528000. Its totient is φ = 21745152.

The previous prime is 68280187. The next prime is 68280209. The reversal of 68280192 is 29108286.

It is a tau number, because it is divible by the number of its divisors (128).

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79059 + ... + 79917.

It is an arithmetic number, because the mean of its divisors is an integer number (1644750).

Almost surely, 2^68280192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68280192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105264000).

68280192 is an abundant number, since it is smaller than the sum of its proper divisors (142247808).

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

68280192 is a wasteful number, since it uses less digits than its factorization.

68280192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 887 counting only the distinct ones).

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

The square root of 68280192 is about 8263.1829218528. The cubic root of 68280192 is about 408.7253532820.

It can be divided in two parts, 68280 and 192, that multiplied together give a triangular number (13109760 = T₅₁₂₀).

The spelling of 68280192 in words is "sixty-eight million, two hundred eighty thousand, one hundred ninety-two".