59085780 has 72 divisors (see below), whose sum is σ = 179176032. Its totient is φ = 14541696.

The previous prime is 59085773. The next prime is 59085787. The reversal of 59085780 is 8758095.

59085780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (59085773) and next prime (59085787).

It is a super-2 number, since 2×59085780² = 6982258796416800, which contains 22 as substring.

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 (59085787) 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 23 ways as a sum of consecutive naturals, for example, 7227 + ... + 13053.

It is an arithmetic number, because the mean of its divisors is an integer number (2488556).

Almost surely, 2^59085780 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 59085780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89588016).

59085780 is an abundant number, since it is smaller than the sum of its proper divisors (120090252).

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

59085780 is a wasteful number, since it uses less digits than its factorization.

59085780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The square root of 59085780 is about 7686.7275221644. The cubic root of 59085780 is about 389.4882175897.

The spelling of 59085780 in words is "fifty-nine million, eighty-five thousand, seven hundred eighty".