601262220 has 192 divisors, whose sum is σ = 1975680000. Its totient is φ = 135281664.

The previous prime is 601262161. The next prime is 601262287. The reversal of 601262220 is 22262106.

601262220 = T₂₈₀₇ + T₂₈₀₈ + ... + T₂₉₅₁.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429081 + ... + 430479.

It is an arithmetic number, because the mean of its divisors is an integer number (10290000).

Almost surely, 2^601262220 is an apocalyptic number.

601262220 is a gapful number since it is divisible by the number (60) 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 601262220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987840000).

601262220 is an abundant number, since it is smaller than the sum of its proper divisors (1374417780).

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

601262220 is a wasteful number, since it uses less digits than its factorization.

601262220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 601262220 is about 24520.6488494901. The cubic root of 601262220 is about 844.0236941455.

The spelling of 601262220 in words is "six hundred one million, two hundred sixty-two thousand, two hundred twenty".