59995040 has 192 divisors, whose sum is σ = 180278784. Its totient is φ = 18382848.

The previous prime is 59995031. The next prime is 59995043. The reversal of 59995040 is 4059995.

59995040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (59995043) by changing a digit.

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, 437852 + ... + 437988.

It is an arithmetic number, because the mean of its divisors is an integer number (938952).

Almost surely, 2^59995040 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 59995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90139392).

59995040 is an abundant number, since it is smaller than the sum of its proper divisors (120283744).

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

59995040 is a wasteful number, since it uses less digits than its factorization.

59995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 41.

The square root of 59995040 is about 7745.6465191745. The cubic root of 59995040 is about 391.4759761843.

The spelling of 59995040 in words is "fifty-nine million, nine hundred ninety-five thousand, forty".