202056320 has 64 divisors (see below), whose sum is σ = 484777440. Its totient is φ = 80532480.

The previous prime is 202056307. The next prime is 202056347. The reversal of 202056320 is 23650202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202056292 and 202056301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313919 + ... + 314561.

Almost surely, 2^202056320 is an apocalyptic number.

202056320 is a gapful number since it is divisible by the number (20) 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 202056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242388720).

202056320 is an abundant number, since it is smaller than the sum of its proper divisors (282721120).

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

202056320 is an equidigital number, since it uses as much as digits as its factorization.

202056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 202056320 is about 14214.6515961525. The cubic root of 202056320 is about 586.8009564025.

The spelling of 202056320 in words is "two hundred two million, fifty-six thousand, three hundred twenty".