68486800 has 60 divisors (see below), whose sum is σ = 165922416. Its totient is φ = 27164800.

The previous prime is 68486783. The next prime is 68486819. The reversal of 68486800 is 868486.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51747 + ... + 53053.

Almost surely, 2^68486800 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 68486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82961208).

68486800 is an abundant number, since it is smaller than the sum of its proper divisors (97435616).

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

68486800 is a wasteful number, since it uses less digits than its factorization.

68486800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1445 counting only the distinct ones).

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

The square root of 68486800 is about 8275.6751990397. The cubic root of 68486800 is about 409.1371901250.

The spelling of 68486800 in words is "sixty-eight million, four hundred eighty-six thousand, eight hundred".