202164032 has 56 divisors (see below), whose sum is σ = 461223360. Its totient is φ = 86123520.

The previous prime is 202164023. The next prime is 202164037. The reversal of 202164032 is 230461202.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 202163995 and 202164013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202164037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78932 + ... + 81452.

Almost surely, 2^202164032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230611680).

202164032 is an abundant number, since it is smaller than the sum of its proper divisors (259059328).

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

202164032 is a wasteful number, since it uses less digits than its factorization.

202164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 202164032 is about 14218.4398581560. The cubic root of 202164032 is about 586.9052083206.

The spelling of 202164032 in words is "two hundred two million, one hundred sixty-four thousand, thirty-two".