59808420 has 108 divisors (see below), whose sum is σ = 211069404. Its totient is φ = 13668480.

The previous prime is 59808379. The next prime is 59808461. The reversal of 59808420 is 2480895.

It is an interprime number because it is at equal distance from previous prime (59808379) and next prime (59808461).

It can be written as a sum of positive squares in 2 ways, for example, as 23736384 + 36072036 = 4872^2 + 6006^2 .

It is a super-3 number, since 3×59808420³ (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5430 + ... + 12210.

Almost surely, 2^59808420 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 59808420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105534702).

59808420 is an abundant number, since it is smaller than the sum of its proper divisors (151260984).

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

59808420 is a wasteful number, since it uses less digits than its factorization.

59808420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810 (or 6798 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 59808420 is about 7733.5903692916. The cubic root of 59808420 is about 391.0696474376.

It can be divided in two parts, 5980 and 8420, that added together give a square (14400 = 120²).

The spelling of 59808420 in words is "fifty-nine million, eight hundred eight thousand, four hundred twenty".