1605678480 has 480 divisors, whose sum is σ = 6536724480. Its totient is φ = 345461760.

The previous prime is 1605678457. The next prime is 1605678499. The reversal of 1605678480 is 848765061.

It is a happy number.

1605678480 is a `hidden beast` number, since 1 + 6 + 0 + 567 + 8 + 4 + 80 = 666.

1605678480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1605678480² = 5156406762270220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6718201 + ... + 6718439.

It is an arithmetic number, because the mean of its divisors is an integer number (13618176).

Almost surely, 2^1605678480 is an apocalyptic number.

1605678480 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 1605678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268362240).

1605678480 is an abundant number, since it is smaller than the sum of its proper divisors (4931046000).

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

1605678480 is a wasteful number, since it uses less digits than its factorization.

1605678480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

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

The square root of 1605678480 is about 40070.9181327306. The cubic root of 1605678480 is about 1170.9891262938.

The spelling of 1605678480 in words is "one billion, six hundred five million, six hundred seventy-eight thousand, four hundred eighty".