61304760 has 192 divisors, whose sum is σ = 220877280. Its totient is φ = 14622720.

The previous prime is 61304759. The next prime is 61304767. The reversal of 61304760 is 6740316.

61304760 is a `hidden beast` number, since 613 + 0 + 47 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61304767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447412 + ... + 447548.

Almost surely, 2^61304760 is an apocalyptic number.

61304760 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 61304760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110438640).

61304760 is an abundant number, since it is smaller than the sum of its proper divisors (159572520).

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

61304760 is a wasteful number, since it uses less digits than its factorization.

61304760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 61304760 is about 7829.7356277208. The cubic root of 61304760 is about 394.3041961811.

The spelling of 61304760 in words is "sixty-one million, three hundred four thousand, seven hundred sixty".