61440080 has 40 divisors (see below), whose sum is σ = 153839112. Its totient is φ = 22685184.

The previous prime is 61440037. The next prime is 61440089. The reversal of 61440080 is 8004416.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 99856 + 61340224 = 316^2 + 7832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61440089) 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, 28499 + ... + 30578.

Almost surely, 2^61440080 is an apocalyptic number.

It is an amenable number.

61440080 is an abundant number, since it is smaller than the sum of its proper divisors (92399032).

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

61440080 is a wasteful number, since it uses less digits than its factorization.

61440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59103 (or 59097 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 61440080 is about 7838.3722800081. The cubic root of 61440080 is about 394.5941031575.

Adding to 61440080 its reverse (8004416), we get a palindrome (69444496).

The spelling of 61440080 in words is "sixty-one million, four hundred forty thousand, eighty".