59466 has 32 divisors (see below), whose sum is σ = 139968. Its totient is φ = 16640.

The previous prime is 59453. The next prime is 59467. The reversal of 59466 is 66495.

59466 = T₇₅ + T₇₆ + ... + T₉₁.

59466 = 13² + 14² + ... + 56².

It is not an unprimeable number, because it can be changed into a prime (59467) by changing a digit.

59466 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 1096 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (4374).

2⁵⁹⁴⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69984).

59466 is an abundant number, since it is smaller than the sum of its proper divisors (80502).

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

59466 is a wasteful number, since it uses less digits than its factorization.

59466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86.

The product of its digits is 6480, while the sum is 30.

The square root of 59466 is about 243.8565151887. The cubic root of 59466 is about 39.0321890727.

It can be divided in two parts, 594 and 66, that multiplied together give a square (39204 = 198²).

The spelling of 59466 in words is "fifty-nine thousand, four hundred sixty-six".