202120416 has 72 divisors (see below), whose sum is σ = 576490824. Its totient is φ = 67173120.

The previous prime is 202120411. The next prime is 202120417. The reversal of 202120416 is 614021202.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120415 + ... + 122081.

It is an arithmetic number, because the mean of its divisors is an integer number (8006817).

Almost surely, 2^202120416 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 202120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288245412).

202120416 is an abundant number, since it is smaller than the sum of its proper divisors (374370408).

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

202120416 is a wasteful number, since it uses less digits than its factorization.

202120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2093 counting only the distinct ones).

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

The square root of 202120416 is about 14216.9059925147. The cubic root of 202120416 is about 586.8629978798.

Adding to 202120416 its reverse (614021202), we get a palindrome (816141618).

The spelling of 202120416 in words is "two hundred two million, one hundred twenty thousand, four hundred sixteen".