61477680 has 240 divisors, whose sum is σ = 219673440. Its totient is φ = 14192640.

The previous prime is 61477649. The next prime is 61477697. The reversal of 61477680 is 8677416.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 842124 + ... + 842196.

It is an arithmetic number, because the mean of its divisors is an integer number (915306).

Almost surely, 2^61477680 is an apocalyptic number.

61477680 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 61477680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109836720).

61477680 is an abundant number, since it is smaller than the sum of its proper divisors (158195760).

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

61477680 is a wasteful number, since it uses less digits than its factorization.

61477680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 61477680 is about 7840.7703703144. The cubic root of 61477680 is about 394.6745810948.

The spelling of 61477680 in words is "sixty-one million, four hundred seventy-seven thousand, six hundred eighty".