201896064 has 96 divisors (see below), whose sum is σ = 602587440. Its totient is φ = 67288320.

The previous prime is 201896011. The next prime is 201896081. The reversal of 201896064 is 460698102.

It is a tau number, because it is divible by the number of its divisors (96).

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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27859 + ... + 34349.

Almost surely, 2^201896064 is an apocalyptic number.

201896064 is a gapful number since it is divisible by the number (24) 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 201896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301293720).

201896064 is an abundant number, since it is smaller than the sum of its proper divisors (400691376).

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

201896064 is an frugal number, since it uses more digits than its factorization.

201896064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 201896064 is about 14209.0134773671. The cubic root of 201896064 is about 586.6457797890.

The spelling of 201896064 in words is "two hundred one million, eight hundred ninety-six thousand, sixty-four".