601638840 has 384 divisors, whose sum is σ = 2349285120. Its totient is φ = 136857600.

The previous prime is 601638839. The next prime is 601638847. The reversal of 601638840 is 48836106.

It is a happy number.

601638840 is a `hidden beast` number, since 601 + 6 + 3 + 8 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 601638795 and 601638804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601638847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1817475 + ... + 1817805.

It is an arithmetic number, because the mean of its divisors is an integer number (6117930).

Almost surely, 2^601638840 is an apocalyptic number.

601638840 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 601638840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174642560).

601638840 is an abundant number, since it is smaller than the sum of its proper divisors (1747646280).

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

601638840 is a wasteful number, since it uses less digits than its factorization.

601638840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 601638840 is about 24528.3272972292. The cubic root of 601638840 is about 844.1998845250.

The spelling of 601638840 in words is "six hundred one million, six hundred thirty-eight thousand, eight hundred forty".