1609781040 has 400 divisors, whose sum is σ = 6671858688. Its totient is φ = 351724032.

The previous prime is 1609781029. The next prime is 1609781093. The reversal of 1609781040 is 401879061.

1609781040 is a `hidden beast` number, since 1 + 609 + 7 + 8 + 1 + 0 + 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 = 1609780986 and 1609781004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1042509 + ... + 1044051.

Almost surely, 2^1609781040 is an apocalyptic number.

1609781040 is a gapful number since it is divisible by the number (10) 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 1609781040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335929344).

1609781040 is an abundant number, since it is smaller than the sum of its proper divisors (5062077648).

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

1609781040 is a wasteful number, since it uses less digits than its factorization.

1609781040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1609781040 is about 40122.0767159428. The cubic root of 1609781040 is about 1171.9855830366.

The spelling of 1609781040 in words is "one billion, six hundred nine million, seven hundred eighty-one thousand, forty".