601238820 has 144 divisors (see below), whose sum is σ = 2109094848. Its totient is φ = 126846720.

The previous prime is 601238819. The next prime is 601238849. The reversal of 601238820 is 28832106.

It is a super-2 number, since 2×601238820² = 722976237349984800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30355 + ... + 46085.

It is an arithmetic number, because the mean of its divisors is an integer number (14646492).

Almost surely, 2^601238820 is an apocalyptic number.

601238820 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 601238820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054547424).

601238820 is an abundant number, since it is smaller than the sum of its proper divisors (1507856028).

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

601238820 is a wasteful number, since it uses less digits than its factorization.

601238820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15770 (or 15761 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 601238820 is about 24520.1716959731. The cubic root of 601238820 is about 844.0127447294.

The spelling of 601238820 in words is "six hundred one million, two hundred thirty-eight thousand, eight hundred twenty".