202986144 has 144 divisors (see below), whose sum is σ = 607999392. Its totient is φ = 64157184.

The previous prime is 202986097. The next prime is 202986149. The reversal of 202986144 is 441689202.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 202986099 and 202986108.

It is not an unprimeable number, because it can be changed into a prime (202986149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457987 + ... + 458429.

It is an arithmetic number, because the mean of its divisors is an integer number (4222218).

Almost surely, 2^202986144 is an apocalyptic number.

202986144 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 202986144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303999696).

202986144 is an abundant number, since it is smaller than the sum of its proper divisors (405013248).

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

202986144 is a wasteful number, since it uses less digits than its factorization.

202986144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 202986144 is about 14247.3205902022. The cubic root of 202986144 is about 587.6996939383.

The spelling of 202986144 in words is "two hundred two million, nine hundred eighty-six thousand, one hundred forty-four".