60832800 has 432 divisors, whose sum is σ = 263233152. Its totient is φ = 12902400.

The previous prime is 60832789. The next prime is 60832841. The reversal of 60832800 is 823806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856765 + ... + 856835.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 2^60832800 is an apocalyptic number.

60832800 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 60832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131616576).

60832800 is an abundant number, since it is smaller than the sum of its proper divisors (202400352).

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

60832800 is a wasteful number, since it uses less digits than its factorization.

60832800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

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

The square root of 60832800 is about 7799.5384478827. The cubic root of 60832800 is about 393.2897267244.

The spelling of 60832800 in words is "sixty million, eight hundred thirty-two thousand, eight hundred".