61410 has 32 divisors (see below), whose sum is σ = 155520. Its totient is φ = 15488.

The previous prime is 61409. The next prime is 61417. The reversal of 61410 is 1416.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (61417) 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, 646 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2⁶¹⁴¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760).

61410 is an abundant number, since it is smaller than the sum of its proper divisors (94110).

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

61410 is a wasteful number, since it uses less digits than its factorization.

61410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 61410 is about 247.8104114036. The cubic root of 61410 is about 39.4529697164.

Adding to 61410 its reverse (1416), we get a palindrome (62826).

The spelling of 61410 in words is "sixty-one thousand, four hundred ten".