61442080 has 144 divisors (see below), whose sum is σ = 179176536. Its totient is φ = 19783680.

The previous prime is 61442053. The next prime is 61442081. The reversal of 61442080 is 8024416.

It can be written as a sum of positive squares in 4 ways, for example, as 51782416 + 9659664 = 7196^2 + 3108^2 .

It is not an unprimeable number, because it can be changed into a prime (61442081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133050 + ... + 133510.

Almost surely, 2^61442080 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 61442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89588268).

61442080 is an abundant number, since it is smaller than the sum of its proper divisors (117734456).

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

61442080 is a wasteful number, since it uses less digits than its factorization.

61442080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 61442080 is about 7838.4998564776. The cubic root of 61442080 is about 394.5983847255.

Adding to 61442080 its reverse (8024416), we get a palindrome (69466496).

The spelling of 61442080 in words is "sixty-one million, four hundred forty-two thousand, eighty".