68148800 has 84 divisors (see below), whose sum is σ = 169322496. Its totient is φ = 26995200.

The previous prime is 68148799. The next prime is 68148803. The reversal of 68148800 is 884186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68148803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305489 + ... + 305711.

It is an arithmetic number, because the mean of its divisors is an integer number (2015744).

Almost surely, 2^68148800 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 68148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84661248).

68148800 is an abundant number, since it is smaller than the sum of its proper divisors (101173696).

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

68148800 is a wasteful number, since it uses less digits than its factorization.

68148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 68148800 is about 8255.2286461369. The cubic root of 68148800 is about 408.4630140194.

The spelling of 68148800 in words is "sixty-eight million, one hundred forty-eight thousand, eight hundred".