65829920 has 48 divisors (see below), whose sum is σ = 167491800. Its totient is φ = 24305664.

The previous prime is 65829893. The next prime is 65829961. The reversal of 65829920 is 2992856.

65829920 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 4 ways, for example, as 53523856 + 12306064 = 7316^2 + 3508^2 .

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, 13745 + ... + 17904.

Almost surely, 2^65829920 is an apocalyptic number.

It is an amenable number.

65829920 is an abundant number, since it is smaller than the sum of its proper divisors (101661880).

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

65829920 is a wasteful number, since it uses less digits than its factorization.

65829920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31677 (or 31669 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 65829920 is about 8113.5639518032. The cubic root of 65829920 is about 403.7765650105.

The spelling of 65829920 in words is "sixty-five million, eight hundred twenty-nine thousand, nine hundred twenty".