61408 has 24 divisors (see below), whose sum is σ = 128520. Its totient is φ = 28800.

The previous prime is 61403. The next prime is 61409. The reversal of 61408 is 80416.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61403) 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, 558 + ... + 658.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

2⁶¹⁴⁰⁸ 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 61408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64260).

61408 is an abundant number, since it is smaller than the sum of its proper divisors (67112).

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

61408 is a wasteful number, since it uses less digits than its factorization.

61408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 61408 is about 247.8063760277. The cubic root of 61408 is about 39.4525414105.

Subtracting from 61408 its product of nonzero digits (192), we obtain a palindrome (61216).

It can be divided in two parts, 6 and 1408, that multiplied together give a palindrome (8448).

The spelling of 61408 in words is "sixty-one thousand, four hundred eight".