605057040 has 200 divisors, whose sum is σ = 2401840320. Its totient is φ = 138288384.

The previous prime is 605057029. The next prime is 605057099. The reversal of 605057040 is 40750506.

605057040 is a `hidden beast` number, since 6 + 0 + 50 + 570 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 605056995 and 605057013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38691 + ... + 52029.

Almost surely, 2^605057040 is an apocalyptic number.

605057040 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 605057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200920160).

605057040 is an abundant number, since it is smaller than the sum of its proper divisors (1796783280).

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

605057040 is a wasteful number, since it uses less digits than its factorization.

605057040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13371 (or 13356 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 605057040 is about 24597.9072280550. The cubic root of 605057040 is about 845.7956349580.

The spelling of 605057040 in words is "six hundred five million, fifty-seven thousand, forty".