65921600 has 42 divisors (see below), whose sum is σ = 162212274. Its totient is φ = 26368000.

The previous prime is 65921599. The next prime is 65921627. The reversal of 65921600 is 612956.

65921600 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 3 ways, for example, as 12222016 + 53699584 = 3496^2 + 7328^2 .

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 5 ways as a sum of consecutive naturals, for example, 19001 + ... + 22200.

It is an arithmetic number, because the mean of its divisors is an integer number (3862197).

Almost surely, 2^65921600 is an apocalyptic number.

It is an amenable number.

65921600 is an abundant number, since it is smaller than the sum of its proper divisors (96290674).

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

65921600 is a wasteful number, since it uses less digits than its factorization.

65921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41223 (or 41208 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 65921600 is about 8119.2117844037. The cubic root of 65921600 is about 403.9639218836.

It can be divided in two parts, 6592 and 1600, that added together give a 13-th power (8192 = 2¹³).

The spelling of 65921600 in words is "sixty-five million, nine hundred twenty-one thousand, six hundred".