201838080 has 160 divisors (see below), whose sum is σ = 662020128. Its totient is φ = 52428800.

The previous prime is 201838033. The next prime is 201838099. The reversal of 201838080 is 80838102.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×201838080² = 81477221076172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314560 + ... + 315200.

Almost surely, 2^201838080 is an apocalyptic number.

201838080 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 201838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331010064).

201838080 is an abundant number, since it is smaller than the sum of its proper divisors (460182048).

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

201838080 is an equidigital number, since it uses as much as digits as its factorization.

201838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 201838080 is about 14206.9729358509. The cubic root of 201838080 is about 586.5896133880.

The spelling of 201838080 in words is "two hundred one million, eight hundred thirty-eight thousand, eighty".