46620 has 72 divisors (see below), whose sum is σ = 165984. Its totient is φ = 10368.

The previous prime is 46619. The next prime is 46633. The reversal of 46620 is 2664.

Added to its reverse (2664) it gives a square (49284 = 222²).

46620 is a `hidden beast` number, since 4 + 662 + 0 = 666.

46620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 15.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 46593 and 46602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242 + ... + 1278.

2⁴⁶⁶²⁰ 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 46620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82992).

46620 is an abundant number, since it is smaller than the sum of its proper divisors (119364).

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

46620 is a wasteful number, since it uses less digits than its factorization.

46620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 46620 is about 215.9166505854. The cubic root of 46620 is about 35.9907383582.

Multiplying 46620 by its sum of digits (18), we get a triangular number (839160 = T₁₂₉₅).

Adding to 46620 its reverse (2664), we get a square (49284 = 222²).

Subtracting from 46620 its reverse (2664), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 46 and 620, that added together give a palindrome (666).

The spelling of 46620 in words is "forty-six thousand, six hundred twenty".