68648800 has 144 divisors (see below), whose sum is σ = 189831600. Its totient is φ = 24012800.

The previous prime is 68648761. The next prime is 68648869. The reversal of 68648800 is 884686.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 255066 + ... + 255334.

It is an arithmetic number, because the mean of its divisors is an integer number (1318275).

Almost surely, 2^68648800 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 68648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94915800).

68648800 is an abundant number, since it is smaller than the sum of its proper divisors (121182800).

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

68648800 is a wasteful number, since it uses less digits than its factorization.

68648800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 68648800 is about 8285.4571388669. The cubic root of 68648800 is about 409.4595297739.

The spelling of 68648800 in words is "sixty-eight million, six hundred forty-eight thousand, eight hundred".