1606587840 has 672 divisors, whose sum is σ = 6710086656. Its totient is φ = 347627520.

The previous prime is 1606587833. The next prime is 1606587859. The reversal of 1606587840 is 487856061.

It is a happy number.

1606587840 is a `hidden beast` number, since 1 + 60 + 6 + 587 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×1606587840² = 5162248975271731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19356439 + ... + 19356521.

It is an arithmetic number, because the mean of its divisors is an integer number (9985248).

Almost surely, 2^1606587840 is an apocalyptic number.

1606587840 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 1606587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355043328).

1606587840 is an abundant number, since it is smaller than the sum of its proper divisors (5103498816).

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

1606587840 is a wasteful number, since it uses less digits than its factorization.

1606587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1606587840 is about 40082.2634091440. The cubic root of 1606587840 is about 1171.2101439147.

The spelling of 1606587840 in words is "one billion, six hundred six million, five hundred eighty-seven thousand, eight hundred forty".