59955540 has 96 divisors (see below), whose sum is σ = 174666240. Its totient is φ = 15353856.

The previous prime is 59955529. The next prime is 59955569. The reversal of 59955540 is 4555995.

59955540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 59955492 and 59955501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250741 + ... + 250979.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 2^59955540 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 59955540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87333120).

59955540 is an abundant number, since it is smaller than the sum of its proper divisors (114710700).

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

59955540 is a wasteful number, since it uses less digits than its factorization.

59955540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 42.

The square root of 59955540 is about 7743.0962799128. The cubic root of 59955540 is about 391.3900429921.

The spelling of 59955540 in words is "fifty-nine million, nine hundred fifty-five thousand, five hundred forty".