65761920 has 288 divisors, whose sum is σ = 265292820. Its totient is φ = 14966784.

The previous prime is 65761903. The next prime is 65761951. The reversal of 65761920 is 2916756.

65761920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 62346816 + 3415104 = 7896^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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 35 ways as a sum of consecutive naturals, for example, 282124 + ... + 282356.

Almost surely, 2^65761920 is an apocalyptic number.

65761920 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 65761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132646410).

65761920 is an abundant number, since it is smaller than the sum of its proper divisors (199530900).

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

65761920 is a wasteful number, since it uses less digits than its factorization.

65761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 65761920 is about 8109.3723554909. The cubic root of 65761920 is about 403.6374880992.

The spelling of 65761920 in words is "sixty-five million, seven hundred sixty-one thousand, nine hundred twenty".