61064 has 16 divisors (see below), whose sum is σ = 121500. Its totient is φ = 28672.

The previous prime is 61057. The next prime is 61091. The reversal of 61064 is 46016.

61064 = T₅₉ + T₆₀ + ... + T₈₂.

61064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 58564 + 2500 = 242^2 + 50^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

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 61064.

It is an unprimeable number.

61064 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, 89 + ... + 360.

2⁶¹⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

61064 is a deficient number, since it is larger than the sum of its proper divisors (60436).

61064 is a wasteful number, since it uses less digits than its factorization.

61064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 61064 is about 247.1113109512. Note that the first 3 decimals coincide. The cubic root of 61064 is about 39.3787340038.

The spelling of 61064 in words is "sixty-one thousand, sixty-four".