68662400 has 96 divisors (see below), whose sum is σ = 173910000. Its totient is φ = 26772480.

The previous prime is 68662387. The next prime is 68662403. The reversal of 68662400 is 426686.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (68662403) 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, 137351 + ... + 137849.

Almost surely, 2^68662400 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 68662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86955000).

68662400 is an abundant number, since it is smaller than the sum of its proper divisors (105247600).

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

68662400 is a wasteful number, since it uses less digits than its factorization.

68662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 68662400 is about 8286.2778133490. The cubic root of 68662400 is about 409.4865673036.

The spelling of 68662400 in words is "sixty-eight million, six hundred sixty-two thousand, four hundred".