61408160 has 192 divisors, whose sum is σ = 173746944. Its totient is φ = 20275200.

The previous prime is 61408147. The next prime is 61408177. The reversal of 61408160 is 6180416.

It is a super-2 number, since 2×61408160² = 7541924229171200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497740 + ... + 1497780.

It is an arithmetic number, because the mean of its divisors is an integer number (904932).

Almost surely, 2^61408160 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 61408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472).

61408160 is an abundant number, since it is smaller than the sum of its proper divisors (112338784).

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

61408160 is a wasteful number, since it uses less digits than its factorization.

61408160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 61408160 is about 7836.3358784575. The cubic root of 61408160 is about 394.5257567532.

Adding to 61408160 its reverse (6180416), we get a palindrome (67588576).

The spelling of 61408160 in words is "sixty-one million, four hundred eight thousand, one hundred sixty".