60904800 has 216 divisors, whose sum is σ = 234594360. Its totient is φ = 14745600.

The previous prime is 60904799. The next prime is 60904841. The reversal of 60904800 is 840906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78816 + ... + 79584.

It is an arithmetic number, because the mean of its divisors is an integer number (1086085).

Almost surely, 2^60904800 is an apocalyptic number.

60904800 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 60904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117297180).

60904800 is an abundant number, since it is smaller than the sum of its proper divisors (173689560).

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

60904800 is a wasteful number, since it uses less digits than its factorization.

60904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 790 counting only the distinct ones).

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

The square root of 60904800 is about 7804.1527406888. The cubic root of 60904800 is about 393.4448277882. Note that the first 3 decimals are identical.

The spelling of 60904800 in words is "sixty million, nine hundred four thousand, eight hundred".