61264 has 20 divisors (see below), whose sum is σ = 135904. Its totient is φ = 26208.

The previous prime is 61261. The next prime is 61283. The reversal of 61264 is 46216.

61264 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162 + ... + 385.

2⁶¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

61264 is an abundant number, since it is smaller than the sum of its proper divisors (74640).

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 (67952).

61264 is a wasteful number, since it uses less digits than its factorization.

61264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 61264 is about 247.5156560705. The cubic root of 61264 is about 39.4216789144.

It can be divided in two parts, 612 and 64, that added together give a palindrome (676).

The spelling of 61264 in words is "sixty-one thousand, two hundred sixty-four".