201062720 has 56 divisors (see below), whose sum is σ = 483598728. Its totient is φ = 79616000.

The previous prime is 201062677. The next prime is 201062767. The reversal of 201062720 is 27260102.

It can be written as a sum of positive squares in 4 ways, for example, as 19998784 + 181063936 = 4472^2 + 13456^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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 = 201062692 and 201062701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29210 + ... + 35430.

Almost surely, 2^201062720 is an apocalyptic number.

201062720 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 201062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241799364).

201062720 is an abundant number, since it is smaller than the sum of its proper divisors (282536008).

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

201062720 is a wasteful number, since it uses less digits than its factorization.

201062720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6339 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 201062720 is about 14179.6586700809. The cubic root of 201062720 is about 585.8375224667.

The spelling of 201062720 in words is "two hundred one million, sixty-two thousand, seven hundred twenty".