201950820 has 120 divisors (see below), whose sum is σ = 670884984. Its totient is φ = 50678784.

The previous prime is 201950743. The next prime is 201950831. The reversal of 201950820 is 28059102.

It can be written as a sum of positive squares in 4 ways, for example, as 2802276 + 199148544 = 1674^2 + 14112^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23874 + ... + 31206.

Almost surely, 2^201950820 is an apocalyptic number.

201950820 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 201950820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335442492).

201950820 is an abundant number, since it is smaller than the sum of its proper divisors (468934164).

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

201950820 is a wasteful number, since it uses less digits than its factorization.

201950820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7371 (or 7360 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 201950820 is about 14210.9401518689. The cubic root of 201950820 is about 586.6988095050.

The spelling of 201950820 in words is "two hundred one million, nine hundred fifty thousand, eight hundred twenty".