60577680 has 80 divisors (see below), whose sum is σ = 189005760. Its totient is φ = 16049664.

The previous prime is 60577661. The next prime is 60577687. The reversal of 60577680 is 8677506.

60577680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (60577687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40791 + ... + 42249.

It is an arithmetic number, because the mean of its divisors is an integer number (2362572).

Almost surely, 2^60577680 is an apocalyptic number.

60577680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60577680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94502880).

60577680 is an abundant number, since it is smaller than the sum of its proper divisors (128428080).

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

60577680 is a wasteful number, since it uses less digits than its factorization.

60577680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 60577680 is about 7783.1664507448. The cubic root of 60577680 is about 392.7391648257.

The spelling of 60577680 in words is "sixty million, five hundred seventy-seven thousand, six hundred eighty".