61006080 has 72 divisors (see below), whose sum is σ = 194850432. Its totient is φ = 16267264.

The previous prime is 61006069. The next prime is 61006103. The reversal of 61006080 is 8060016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4104 + ... + 11783.

It is an arithmetic number, because the mean of its divisors is an integer number (2706256).

Almost surely, 2^61006080 is an apocalyptic number.

61006080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61006080 is an abundant number, since it is smaller than the sum of its proper divisors (133844352).

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

61006080 is a wasteful number, since it uses less digits than its factorization.

61006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15911 (or 15897 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 61006080 is about 7810.6388983232. The cubic root of 61006080 is about 393.6627965112.

Adding to 61006080 its reverse (8060016), we get a palindrome (69066096).

The spelling of 61006080 in words is "sixty-one million, six thousand, eighty".