68461200 has 150 divisors (see below), whose sum is σ = 245818034. Its totient is φ = 18247680.

The previous prime is 68461177. The next prime is 68461219. The reversal of 68461200 is 216486.

It can be written as a sum of positive squares in 3 ways, for example, as 1089936 + 67371264 = 1044^2 + 8208^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31344 + ... + 33456.

Almost surely, 2^68461200 is an apocalyptic number.

68461200 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 68461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122909017).

68461200 is an abundant number, since it is smaller than the sum of its proper divisors (177356834).

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

68461200 is a wasteful number, since it uses less digits than its factorization.

68461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68461200 is about 8274.1283528841. The cubic root of 68461200 is about 409.0862060065.

Adding to 68461200 its reverse (216486), we get a palindrome (68677686).

The spelling of 68461200 in words is "sixty-eight million, four hundred sixty-one thousand, two hundred".