59808672 has 384 divisors, whose sum is σ = 232243200. Its totient is φ = 14515200.

The previous prime is 59808667. The next prime is 59808677. The reversal of 59808672 is 27680895.

It is an interprime number because it is at equal distance from previous prime (59808667) and next prime (59808677).

It is not an unprimeable number, because it can be changed into a prime (59808677) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1929297 + ... + 1929327.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^59808672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59808672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

59808672 is an abundant number, since it is smaller than the sum of its proper divisors (172434528).

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

59808672 is a wasteful number, since it uses less digits than its factorization.

59808672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 59808672 is about 7733.6066618364. The cubic root of 59808672 is about 391.0701966881.

The spelling of 59808672 in words is "fifty-nine million, eight hundred eight thousand, six hundred seventy-two".