201762020 has 48 divisors (see below), whose sum is σ = 435610560. Its totient is φ = 78454656.

The previous prime is 201762017. The next prime is 201762031. The reversal of 201762020 is 20267102.

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 = 201761983 and 201762001.

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, 242966 + ... + 243794.

It is an arithmetic number, because the mean of its divisors is an integer number (9075220).

Almost surely, 2^201762020 is an apocalyptic number.

201762020 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 201762020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217805280).

201762020 is an abundant number, since it is smaller than the sum of its proper divisors (233848540).

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

201762020 is a wasteful number, since it uses less digits than its factorization.

201762020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1162 counting only the distinct ones).

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

The square root of 201762020 is about 14204.2958290793. The cubic root of 201762020 is about 586.5159212953.

The spelling of 201762020 in words is "two hundred one million, seven hundred sixty-two thousand, twenty".