60295680 has 120 divisors (see below), whose sum is σ = 208900692. Its totient is φ = 16072704.

The previous prime is 60295661. The next prime is 60295691. The reversal of 60295680 is 8659206.

It can be written as a sum of positive squares in 2 ways, for example, as 56791296 + 3504384 = 7536^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21732 + ... + 24348.

Almost surely, 2^60295680 is an apocalyptic number.

60295680 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 60295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104450346).

60295680 is an abundant number, since it is smaller than the sum of its proper divisors (148605012).

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

60295680 is a wasteful number, since it uses less digits than its factorization.

60295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 60295680 is about 7765.0292980774. The cubic root of 60295680 is about 392.1287928876.

The spelling of 60295680 in words is "sixty million, two hundred ninety-five thousand, six hundred eighty".