202991616 has 96 divisors (see below), whose sum is σ = 601473600. Its totient is φ = 67645440.

The previous prime is 202991599. The next prime is 202991617. The reversal of 202991616 is 616199202.

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 not an unprimeable number, because it can be changed into a prime (202991617) 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, 53461 + ... + 57131.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^202991616 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 202991616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300736800).

202991616 is an abundant number, since it is smaller than the sum of its proper divisors (398481984).

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

202991616 is an equidigital number, since it uses as much as digits as its factorization.

202991616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 202991616 is about 14247.5126250163. The cubic root of 202991616 is about 587.7049748633.

The spelling of 202991616 in words is "two hundred two million, nine hundred ninety-one thousand, six hundred sixteen".