61460 has 24 divisors (see below), whose sum is σ = 147840. Its totient is φ = 21024.

The previous prime is 61441. The next prime is 61463. The reversal of 61460 is 6416.

61460 = T₁₂₉ + T₁₃₀ + ... + T₁₃₅.

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, 80 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (6160).

2⁶¹⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

61460 is an abundant number, since it is smaller than the sum of its proper divisors (86380).

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 (73920).

61460 is a wasteful number, since it uses less digits than its factorization.

61460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

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

The square root of 61460 is about 247.9112744512. The cubic root of 61460 is about 39.4636743430.

Subtracting from 61460 its product of nonzero digits (144), we obtain a palindrome (61316).

Adding to 61460 its reverse (6416), we get a palindrome (67876).

The spelling of 61460 in words is "sixty-one thousand, four hundred sixty".