61716480 has 288 divisors, whose sum is σ = 235282320. Its totient is φ = 13762560.

The previous prime is 61716469. The next prime is 61716491. The reversal of 61716480 is 8461716.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61716469) and next prime (61716491).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505260 + ... + 1505300.

Almost surely, 2^61716480 is an apocalyptic number.

61716480 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 61716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117641160).

61716480 is an abundant number, since it is smaller than the sum of its proper divisors (173565840).

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

61716480 is a wasteful number, since it uses less digits than its factorization.

61716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 61716480 is about 7855.9837067041. The cubic root of 61716480 is about 395.1849371673.

The spelling of 61716480 in words is "sixty-one million, seven hundred sixteen thousand, four hundred eighty".