201570080 has 96 divisors (see below), whose sum is σ = 496419840. Its totient is φ = 77276160.

The previous prime is 201570059. The next prime is 201570101. The reversal of 201570080 is 80075102.

It is an interprime number because it is at equal distance from previous prime (201570059) and next prime (201570101).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 467465 + ... + 467895.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2^201570080 is an apocalyptic number.

201570080 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 201570080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

201570080 is an abundant number, since it is smaller than the sum of its proper divisors (294849760).

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

201570080 is a wasteful number, since it uses less digits than its factorization.

201570080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 201570080 is about 14197.5378147058. The cubic root of 201570080 is about 586.3298744148.

The spelling of 201570080 in words is "two hundred one million, five hundred seventy thousand, eighty".