201956064 has 48 divisors (see below), whose sum is σ = 544472208. Its totient is φ = 65498112.

The previous prime is 201956057. The next prime is 201956081. The reversal of 201956064 is 460659102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24877 + ... + 31980.

It is an arithmetic number, because the mean of its divisors is an integer number (11343171).

Almost surely, 2^201956064 is an apocalyptic number.

201956064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201956064 is an abundant number, since it is smaller than the sum of its proper divisors (342516144).

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

201956064 is a wasteful number, since it uses less digits than its factorization.

201956064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56907 (or 56899 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 201956064 is about 14211.1246564091. The cubic root of 201956064 is about 586.7038876752.

The spelling of 201956064 in words is "two hundred one million, nine hundred fifty-six thousand, sixty-four".