68401200 has 240 divisors, whose sum is σ = 265697280. Its totient is φ = 14684160.

The previous prime is 68401189. The next prime is 68401211. The reversal of 68401200 is 210486.

It is an interprime number because it is at equal distance from previous prime (68401189) and next prime (68401211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×68401200² = 9357448322880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142561 + ... + 143039.

It is an arithmetic number, because the mean of its divisors is an integer number (1107072).

Almost surely, 2^68401200 is an apocalyptic number.

68401200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132848640).

68401200 is an abundant number, since it is smaller than the sum of its proper divisors (197296080).

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

68401200 is a wasteful number, since it uses less digits than its factorization.

68401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 68401200 is about 8270.5017985610. The cubic root of 68401200 is about 408.9666621560.

Adding to 68401200 its reverse (210486), we get a palindrome (68611686).

The spelling of 68401200 in words is "sixty-eight million, four hundred one thousand, two hundred".