68076000 has 288 divisors, whose sum is σ = 253483776. Its totient is φ = 17280000.

The previous prime is 68075989. The next prime is 68076017. The reversal of 68076000 is 67086.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115970 + ... + 1116030.

It is an arithmetic number, because the mean of its divisors is an integer number (880152).

Almost surely, 2^68076000 is an apocalyptic number.

68076000 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 68076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126741888).

68076000 is an abundant number, since it is smaller than the sum of its proper divisors (185407776).

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

68076000 is a wasteful number, since it uses less digits than its factorization.

68076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 68076000 is about 8250.8181412512. The cubic root of 68076000 is about 408.3175152371.

The spelling of 68076000 in words is "sixty-eight million, seventy-six thousand".