60681600 has 432 divisors, whose sum is σ = 257734620. Its totient is φ = 13547520.

The previous prime is 60681589. The next prime is 60681629. The reversal of 60681600 is 618606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1411179 + ... + 1411221.

Almost surely, 2^60681600 is an apocalyptic number.

60681600 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 60681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128867310).

60681600 is an abundant number, since it is smaller than the sum of its proper divisors (197053020).

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

60681600 is a wasteful number, since it uses less digits than its factorization.

60681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 60681600 is about 7789.8395362164. The cubic root of 60681600 is about 392.9636156903.

The spelling of 60681600 in words is "sixty million, six hundred eighty-one thousand, six hundred".