59799120 has 80 divisors (see below), whose sum is σ = 186482112. Its totient is φ = 15851520.

The previous prime is 59799109. The next prime is 59799121. The reversal of 59799120 is 2199795.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59799121) 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 15 ways as a sum of consecutive naturals, for example, 45675 + ... + 46965.

Almost surely, 2^59799120 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 59799120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93241056).

59799120 is an abundant number, since it is smaller than the sum of its proper divisors (126682992).

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

59799120 is a wasteful number, since it uses less digits than its factorization.

59799120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The square root of 59799120 is about 7732.9890727971. The cubic root of 59799120 is about 391.0493763997.

The spelling of 59799120 in words is "fifty-nine million, seven hundred ninety-nine thousand, one hundred twenty".