61676880 has 80 divisors (see below), whose sum is σ = 193678080. Its totient is φ = 16233984.

The previous prime is 61676861. The next prime is 61676893. The reversal of 61676880 is 8867616.

61676880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 17334 + ... + 20586.

It is an arithmetic number, because the mean of its divisors is an integer number (2420976).

Almost surely, 2^61676880 is an apocalyptic number.

61676880 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 61676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96839040).

61676880 is an abundant number, since it is smaller than the sum of its proper divisors (132001200).

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

61676880 is a wasteful number, since it uses less digits than its factorization.

61676880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 61676880 is about 7853.4629304530. The cubic root of 61676880 is about 395.1003964212.

The spelling of 61676880 in words is "sixty-one million, six hundred seventy-six thousand, eight hundred eighty".