202879120 has 40 divisors (see below), whose sum is σ = 472559040. Its totient is φ = 81002880.

The previous prime is 202879109. The next prime is 202879121. The reversal of 202879120 is 21978202.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (202879121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48471 + ... + 52489.

It is an arithmetic number, because the mean of its divisors is an integer number (11813976).

Almost surely, 2^202879120 is an apocalyptic number.

202879120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202879120 is an abundant number, since it is smaller than the sum of its proper divisors (269679920).

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

202879120 is a wasteful number, since it uses less digits than its factorization.

202879120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 202879120 is about 14243.5641607008. The cubic root of 202879120 is about 587.5963879879.

The spelling of 202879120 in words is "two hundred two million, eight hundred seventy-nine thousand, one hundred twenty".