68601300 has 72 divisors (see below), whose sum is σ = 201507936. Its totient is φ = 18015360.

The previous prime is 68601287. The next prime is 68601311. The reversal of 68601300 is 310686.

It is a super-2 number, since 2×68601300² = 9412276723380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18394 + ... + 21806.

Almost surely, 2^68601300 is an apocalyptic number.

68601300 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 68601300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100753968).

68601300 is an abundant number, since it is smaller than the sum of its proper divisors (132906636).

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

68601300 is a wasteful number, since it uses less digits than its factorization.

68601300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 68601300 is about 8282.5901745770. The cubic root of 68601300 is about 409.3650691995.

Adding to 68601300 its reverse (310686), we get a palindrome (68911986).

The spelling of 68601300 in words is "sixty-eight million, six hundred one thousand, three hundred".