59420 has 12 divisors (see below), whose sum is σ = 124824. Its totient is φ = 23760.

The previous prime is 59419. The next prime is 59441. The reversal of 59420 is 2495.

59420 = T₁₁ + T₁₂ + ... + T₇₀.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 2971 = 59420 / (5 + 9 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 59392 and 59401.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1466 + ... + 1505.

It is an arithmetic number, because the mean of its divisors is an integer number (10402).

2⁵⁹⁴²⁰ is an apocalyptic number.

It is an amenable number.

59420 is an abundant number, since it is smaller than the sum of its proper divisors (65404).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62412).

59420 is a wasteful number, since it uses less digits than its factorization.

59420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 59420 is about 243.7621791829. The cubic root of 59420 is about 39.0221220099.

The spelling of 59420 in words is "fifty-nine thousand, four hundred twenty".