59416 has 16 divisors (see below), whose sum is σ = 127440. Its totient is φ = 25440.

The previous prime is 59407. The next prime is 59417. The reversal of 59416 is 61495.

It is a super-2 number, since 2×59416² = 7060522112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59417) by changing a digit.

59416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 475 + ... + 586.

It is an arithmetic number, because the mean of its divisors is an integer number (7965).

2⁵⁹⁴¹⁶ is an apocalyptic number.

59416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

59416 is an abundant number, since it is smaller than the sum of its proper divisors (68024).

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 (63720).

59416 is a wasteful number, since it uses less digits than its factorization.

59416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1070 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 59416 is about 243.7539743266. The cubic root of 59416 is about 39.0212463677.

The spelling of 59416 in words is "fifty-nine thousand, four hundred sixteen".