61447680 has 320 divisors, whose sum is σ = 251412480. Its totient is φ = 13934592.

The previous prime is 61447669. The next prime is 61447681. The reversal of 61447680 is 8674416.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61447681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 483777 + ... + 483903.

It is an arithmetic number, because the mean of its divisors is an integer number (785664).

Almost surely, 2^61447680 is an apocalyptic number.

61447680 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 61447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125706240).

61447680 is an abundant number, since it is smaller than the sum of its proper divisors (189964800).

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

61447680 is a wasteful number, since it uses less digits than its factorization.

61447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 61447680 is about 7838.8570595464. The cubic root of 61447680 is about 394.6103726217.

It can be divided in two parts, 6144 and 7680, that added together give a cube (13824 = 24³).

The spelling of 61447680 in words is "sixty-one million, four hundred forty-seven thousand, six hundred eighty".