601382040 has 128 divisors (see below), whose sum is σ = 2068416000. Its totient is φ = 137023488.

The previous prime is 601382011. The next prime is 601382057. The reversal of 601382040 is 40283106.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 601382040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317416 + ... + 319304.

It is an arithmetic number, because the mean of its divisors is an integer number (16159500).

Almost surely, 2^601382040 is an apocalyptic number.

601382040 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 601382040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208000).

601382040 is an abundant number, since it is smaller than the sum of its proper divisors (1467033960).

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

601382040 is a wasteful number, since it uses less digits than its factorization.

601382040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 601382040 is about 24523.0919747082. The cubic root of 601382040 is about 844.0797563197.

The spelling of 601382040 in words is "six hundred one million, three hundred eighty-two thousand, forty".