64746 has 32 divisors (see below), whose sum is σ = 158400. Its totient is φ = 19440.

The previous prime is 64717. The next prime is 64747.

64746 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (64747) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 540 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (4950).

2⁶⁴⁷⁴⁶ is an apocalyptic number.

64746 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79200).

64746 is an abundant number, since it is smaller than the sum of its proper divisors (93654).

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

64746 is a wasteful number, since it uses less digits than its factorization.

64746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 64746 is about 254.4523531037. The cubic root of 64746 is about 40.1548166884.

The spelling of 64746 in words is "sixty-four thousand, seven hundred forty-six".