59950080 has 132 divisors (see below), whose sum is σ = 207885132. Its totient is φ = 15974400.

The previous prime is 59950013. The next prime is 59950081. The reversal of 59950080 is 8005995.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 53231616 = 2592^2 + 7296^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (59950081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45430 + ... + 46730.

Almost surely, 2^59950080 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 59950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103942566).

59950080 is an abundant number, since it is smaller than the sum of its proper divisors (147935052).

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

59950080 is a wasteful number, since it uses less digits than its factorization.

59950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 59950080 is about 7742.7436997488. The cubic root of 59950080 is about 391.3781616630.

The spelling of 59950080 in words is "fifty-nine million, nine hundred fifty thousand, eighty".