61831680 has 160 divisors (see below), whose sum is σ = 202112064. Its totient is φ = 16121856.

The previous prime is 61831661. The next prime is 61831697. The reversal of 61831680 is 8613816.

61831680 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 (160).

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, 637392 + ... + 637488.

Almost surely, 2^61831680 is an apocalyptic number.

61831680 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 61831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101056032).

61831680 is an abundant number, since it is smaller than the sum of its proper divisors (140280384).

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

61831680 is an equidigital number, since it uses as much as digits as its factorization.

61831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 61831680 is about 7863.3122791862. The cubic root of 61831680 is about 395.4306684439.

The spelling of 61831680 in words is "sixty-one million, eight hundred thirty-one thousand, six hundred eighty".