201415680 has 352 divisors, whose sum is σ = 754606080. Its totient is φ = 50872320.

The previous prime is 201415673. The next prime is 201415681. The reversal of 201415680 is 86514102.

It is a super-2 number, since 2×201415680² = 81136552299724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201415681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4285417 + ... + 4285463.

Almost surely, 2^201415680 is an apocalyptic number.

201415680 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 201415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377303040).

201415680 is an abundant number, since it is smaller than the sum of its proper divisors (553190400).

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

201415680 is a wasteful number, since it uses less digits than its factorization.

201415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 201415680 is about 14192.0992104762. The cubic root of 201415680 is about 586.1801292125.

Adding to 201415680 its reverse (86514102), we get a palindrome (287929782).

The spelling of 201415680 in words is "two hundred one million, four hundred fifteen thousand, six hundred eighty".