61451680 has 48 divisors (see below), whose sum is σ = 145877760. Its totient is φ = 24462592.

The previous prime is 61451669. The next prime is 61451711. The reversal of 61451680 is 8615416.

61451680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 37437 + ... + 39043.

It is an arithmetic number, because the mean of its divisors is an integer number (3039120).

Almost surely, 2^61451680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61451680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72938880).

61451680 is an abundant number, since it is smaller than the sum of its proper divisors (84426080).

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

61451680 is a wasteful number, since it uses less digits than its factorization.

61451680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 61451680 is about 7839.1121946302. The cubic root of 61451680 is about 394.6189349587.

The spelling of 61451680 in words is "sixty-one million, four hundred fifty-one thousand, six hundred eighty".