61663680 has 336 divisors, whose sum is σ = 240755424. Its totient is φ = 14929920.

The previous prime is 61663669. The next prime is 61663691. The reversal of 61663680 is 8636616.

61663680 is a `hidden beast` number, since 6 + 16 + 636 + 8 + 0 = 666.

61663680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61663669) and next prime (61663691).

It is a super-2 number, since 2×61663680² = 7604818862284800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1010850 + ... + 1010910.

It is an arithmetic number, because the mean of its divisors is an integer number (716534).

Almost surely, 2^61663680 is an apocalyptic number.

61663680 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 61663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120377712).

61663680 is an abundant number, since it is smaller than the sum of its proper divisors (179091744).

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

61663680 is a wasteful number, since it uses less digits than its factorization.

61663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 61663680 is about 7852.6224918813. The cubic root of 61663680 is about 395.0722081312.

The spelling of 61663680 in words is "sixty-one million, six hundred sixty-three thousand, six hundred eighty".