202112064 has 448 divisors, whose sum is σ = 780288000. Its totient is φ = 50803200.

The previous prime is 202112039. The next prime is 202112069. The reversal of 202112064 is 460211202.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202112069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6519729 + ... + 6519759.

Almost surely, 2^202112064 is an apocalyptic number.

202112064 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 202112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390144000).

202112064 is an abundant number, since it is smaller than the sum of its proper divisors (578175936).

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

202112064 is a wasteful number, since it uses less digits than its factorization.

202112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 202112064 is about 14216.6122546829. The cubic root of 202112064 is about 586.8549143367.

Adding to 202112064 its reverse (460211202), we get a palindrome (662323266).

The spelling of 202112064 in words is "two hundred two million, one hundred twelve thousand, sixty-four".