68664400 has 120 divisors (see below), whose sum is σ = 190969920. Its totient is φ = 23239680.

The previous prime is 68664397. The next prime is 68664403. The reversal of 68664400 is 446686.

It is an interprime number because it is at equal distance from previous prime (68664397) and next prime (68664403).

It is a super-3 number, since 3×68664400³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68664403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383511 + ... + 383689.

It is an arithmetic number, because the mean of its divisors is an integer number (1591416).

Almost surely, 2^68664400 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 68664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95484960).

68664400 is an abundant number, since it is smaller than the sum of its proper divisors (122305520).

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

68664400 is a wasteful number, since it uses less digits than its factorization.

68664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 68664400 is about 8286.3984939176. The cubic root of 68664400 is about 409.4905431098.

The spelling of 68664400 in words is "sixty-eight million, six hundred sixty-four thousand, four hundred".