61464 has 32 divisors (see below), whose sum is σ = 166320. Its totient is φ = 18816.

The previous prime is 61463. The next prime is 61469. The reversal of 61464 is 46416.

Added to its reverse (46416) it gives a triangular number (107880 = T₄₆₄).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 61464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214 + ... + 410.

2⁶¹⁴⁶⁴ 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 61464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83160).

61464 is an abundant number, since it is smaller than the sum of its proper divisors (104856).

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

61464 is a wasteful number, since it uses less digits than its factorization.

61464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 61464 is about 247.9193417223. The cubic root of 61464 is about 39.4645304623.

Adding to 61464 its reverse (46416), we get a triangular number (107880 = T₄₆₄).

It can be divided in two parts, 61 and 464, that added together give a palindrome (525).

The spelling of 61464 in words is "sixty-one thousand, four hundred sixty-four".